964164902400 has 1680 divisors, whose sum is σ = 4242666621600. Its totient is φ = 212363182080.

The previous prime is 964164902359. The next prime is 964164902419. The reversal of 964164902400 is 4209461469.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×964164902400² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1894233346 + ... + 1894233854.

Almost surely, 2^964164902400 is an apocalyptic number.

964164902400 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 964164902400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2121333310800).

964164902400 is an abundant number, since it is smaller than the sum of its proper divisors (3278501719200).

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

964164902400 is an equidigital number, since it uses as much as digits as its factorization.

964164902400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 964164902400 in words is "nine hundred sixty-four billion, one hundred sixty-four million, nine hundred two thousand, four hundred".