964625745600 has 504 divisors, whose sum is σ = 3771175764720. Its totient is φ = 233844019200.

The previous prime is 964625745541. The next prime is 964625745641. The reversal of 964625745600 is 6547526469.

964625745600 is a `hidden beast` number, since 9 + 6 + 4 + 6 + 2 + 5 + 74 + 560 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19141236 + ... + 19191564.

Almost surely, 2^964625745600 is an apocalyptic number.

964625745600 is a gapful number since it is divisible by the number (90) 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 964625745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1885587882360).

964625745600 is an abundant number, since it is smaller than the sum of its proper divisors (2806550019120).

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

964625745600 is a wasteful number, since it uses less digits than its factorization.

964625745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50390 (or 50350 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 964625745600 in words is "nine hundred sixty-four billion, six hundred twenty-five million, seven hundred forty-five thousand, six hundred".