9625964000256 has 264 divisors, whose sum is σ = 29488087649280. Its totient is φ = 3015835877376.

The previous prime is 9625964000243. The next prime is 9625964000293. The reversal of 9625964000256 is 6520004695269.

9625964000256 is a `hidden beast` number, since 9 + 6 + 2 + 596 + 40 + 0 + 0 + 2 + 5 + 6 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22021780 + ... + 22454636.

Almost surely, 2^{9625964000256} is an apocalyptic number.

9625964000256 is a gapful number since it is divisible by the number (96) 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 9625964000256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14744043824640).

9625964000256 is an abundant number, since it is smaller than the sum of its proper divisors (19862123649024).

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

9625964000256 is a wasteful number, since it uses less digits than its factorization.

9625964000256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433029 (or 433008 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 9625964000256 in words is "nine trillion, six hundred twenty-five billion, nine hundred sixty-four million, two hundred fifty-six", and thus it is an aban number.