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6640610040 = 2334517120563
BaseRepresentation
bin1100010111100111…
…11010101011111000
3122010210110221110000
412023303322223320
5102044444010130
63014535153000
7323363153061
oct61363725370
918123427400
106640610040
1128a84a6679
121353b15760
1381aa12a6c
1446dd27568
1528cec8260
hex18bcfaaf8

6640610040 has 160 divisors (see below), whose sum is σ = 23632955280. Its totient is φ = 1666649088.

The previous prime is 6640610027. The next prime is 6640610051. The reversal of 6640610040 is 400160466.

6640610040 is a `hidden beast` number, since 6 + 6 + 4 + 0 + 610 + 0 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6640609986 and 6640610013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5202 + ... + 115361.

Almost surely, 26640610040 is an apocalyptic number.

6640610040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6640610040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11816477640).

6640610040 is an abundant number, since it is smaller than the sum of its proper divisors (16992345240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6640610040 is a wasteful number, since it uses less digits than its factorization.

6640610040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120603 (or 120590 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 6640610040 is about 81489.9382746115. The cubic root of 6640610040 is about 1879.6168337872.

The spelling of 6640610040 in words is "six billion, six hundred forty million, six hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 255 270 306 324 340 360 405 408 459 510 540 612 648 680 765 810 918 1020 1080 1224 1377 1530 1620 1836 2040 2295 2754 3060 3240 3672 4590 5508 6120 6885 9180 11016 13770 18360 27540 55080 120563 241126 361689 482252 602815 723378 964504 1085067 1205630 1446756 1808445 2049571 2170134 2411260 2893512 3255201 3616890 4099142 4340268 4822520 5425335 6148713 6510402 7233780 8198284 8680536 9765603 10247855 10850670 12297426 13020804 14467560 16276005 16396568 18446139 19531206 20495710 21701340 24594852 26041608 30743565 32552010 36892278 39062412 40991420 43402680 48828015 49189704 55338417 61487130 65104020 73784556 78124824 81982840 92230695 97656030 110676834 122974260 130208040 147569112 166015251 184461390 195312060 221353668 245948520 276692085 332030502 368922780 390624120 442707336 553384170 664061004 737845560 830076255 1106768340 1328122008 1660152510 2213536680 3320305020 6640610040