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644820064 = 25717313541
BaseRepresentation
bin100110011011110…
…010110001100000
31122221100020211121
4212123302301200
52310033220224
6143552422024
721656610610
oct4633626140
91587306747
10644820064
11300a90949
1215bb47914
13a378c345
14618d2a40
153b922be4
hex266f2c60

644820064 has 96 divisors (see below), whose sum is σ = 1543945536. Its totient is φ = 258785280.

The previous prime is 644820061. The next prime is 644820073. The reversal of 644820064 is 460028446.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644820061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1191634 + ... + 1192174.

It is an arithmetic number, because the mean of its divisors is an integer number (16082766).

Almost surely, 2644820064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 644820064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771972768).

644820064 is an abundant number, since it is smaller than the sum of its proper divisors (899125472).

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

644820064 is a wasteful number, since it uses less digits than its factorization.

644820064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 644820064 is about 25393.3074647632. The cubic root of 644820064 is about 863.9319076424.

The spelling of 644820064 in words is "six hundred forty-four million, eight hundred twenty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 313 476 541 544 626 952 1082 1252 1904 2164 2191 2504 3787 3808 4328 4382 5008 5321 7574 8656 8764 9197 10016 10642 15148 17312 17528 18394 21284 30296 35056 36788 37247 42568 60592 64379 70112 73576 74494 85136 121184 128758 147152 148988 169333 170272 257516 294304 297976 338666 515032 595952 677332 1030064 1185331 1191904 1354664 2060128 2370662 2709328 2878661 4741324 5418656 5757322 9482648 11514644 18965296 20150627 23029288 37930592 40301254 46058576 80602508 92117152 161205016 322410032 644820064