964575408384 has 729 divisors, whose sum is σ = 3367588330197. Its totient is φ = 264750280704.

The previous prime is 964575408319. The next prime is 964575408413. The reversal of 964575408384 is 483804575469.

The square root of 964575408384 is 982128.

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

964575408384 is a `hidden beast` number, since 9 + 6 + 4 + 5 + 7 + 540 + 8 + 3 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 863115321600 + 101460086784 = 929040^2 + 318528^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 12209815257 + ... + 12209815335.

Almost surely, 2^964575408384 is an apocalyptic number.

964575408384 is the 982128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 964575408384

964575408384 is an abundant number, since it is smaller than the sum of its proper divisors (2403012921813).

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

964575408384 is an equidigital number, since it uses as much as digits as its factorization.

964575408384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 964575408384 in words is "nine hundred sixty-four billion, five hundred seventy-five million, four hundred eight thousand, three hundred eighty-four".