964005996800 has 864 divisors, whose sum is σ = 3053735215104. Its totient is φ = 292626432000.

The previous prime is 964005996781. The next prime is 964005996857. The reversal of 964005996800 is 8699500469.

It is a super-2 number, since 2×964005996800² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4568748695 + ... + 4568748905.

Almost surely, 2^964005996800 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 964005996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526867607552).

964005996800 is an abundant number, since it is smaller than the sum of its proper divisors (2089729218304).

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

964005996800 is a wasteful number, since it uses less digits than its factorization.

964005996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 56.

The spelling of 964005996800 in words is "nine hundred sixty-four billion, five million, nine hundred ninety-six thousand, eight hundred".