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6726996540 = 2234511438779
BaseRepresentation
bin1100100001111010…
…11101001000111100
3122100211000211110000
412100331131020330
5102234102342130
63031302514300
7325462345545
oct62075351074
918324024400
106726996540
11294223a080
121378a35990
1383289b034
1447b5b34cc
1529588e260
hex190f5d23c

6726996540 has 240 divisors, whose sum is σ = 23559338880. Its totient is φ = 1592680320.

The previous prime is 6726996527. The next prime is 6726996623. The reversal of 6726996540 is 456996276.

6726996540 is a `hidden beast` number, since 6 + 7 + 2 + 6 + 9 + 96 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 761871 + ... + 770649.

It is an arithmetic number, because the mean of its divisors is an integer number (98163912).

Almost surely, 26726996540 is an apocalyptic number.

6726996540 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 6726996540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11779669440).

6726996540 is an abundant number, since it is smaller than the sum of its proper divisors (16832342340).

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

6726996540 is a wasteful number, since it uses less digits than its factorization.

6726996540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8854 (or 8843 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 6726996540 is about 82018.2695501435. The cubic root of 6726996540 is about 1887.7322763722.

The spelling of 6726996540 in words is "six billion, seven hundred twenty-six million, nine hundred ninety-six thousand, five hundred forty".