255736847600640 has 1408 divisors, whose sum is σ = 1056041213368320. Its totient is φ = 57481736749056.

The previous prime is 255736847600627. The next prime is 255736847600657. The reversal of 255736847600640 is 46006748637552.

It is a happy number.

255736847600640 is a `hidden beast` number, since 2 + 55 + 73 + 6 + 8 + 476 + 0 + 0 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24512296864 + ... + 24512307296.

Almost surely, 2^{255736847600640} is an apocalyptic number.

255736847600640 is a gapful number since it is divisible by the number (20) 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 255736847600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528020606684160).

255736847600640 is an abundant number, since it is smaller than the sum of its proper divisors (800304365767680).

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

255736847600640 is a wasteful number, since it uses less digits than its factorization.

255736847600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894 (or 10870 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 255736847600640 in words is "two hundred fifty-five trillion, seven hundred thirty-six billion, eight hundred forty-seven million, six hundred thousand, six hundred forty".