964088334400 has 63 divisors (see below), whose sum is σ = 2372356503309. Its totient is φ = 385619623680.

The previous prime is 964088334389. The next prime is 964088334431. The reversal of 964088334400 is 4433880469.

The square root of 964088334400 is 981880.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 347071800384 + 617016534016 = 589128^2 + 785504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 39262927 + ... + 39287473.

Almost surely, 2^964088334400 is an apocalyptic number.

964088334400 is the 981880-th square number.

It is an amenable number.

964088334400 is an abundant number, since it is smaller than the sum of its proper divisors (1408268168909).

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

964088334400 is an frugal number, since it uses more digits than its factorization.

964088334400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49116 (or 24554 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 49.

Multiplying 964088334400 by its sum of digits (49), we get a square (47240328385600 = 6873160²).

The spelling of 964088334400 in words is "nine hundred sixty-four billion, eighty-eight million, three hundred thirty-four thousand, four hundred".