964399464960 has 640 divisors, whose sum is σ = 3384565088256. Its totient is φ = 233494609920.

The previous prime is 964399464923. The next prime is 964399464979. The reversal of 964399464960 is 69464993469.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 290217859 + ... + 290221181.

Almost surely, 2^964399464960 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 964399464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692282544128).

964399464960 is an abundant number, since it is smaller than the sum of its proper divisors (2420165623296).

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

964399464960 is a wasteful number, since it uses less digits than its factorization.

964399464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3456 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 272097792, while the sum is 69.

The spelling of 964399464960 in words is "nine hundred sixty-four billion, three hundred ninety-nine million, four hundred sixty-four thousand, nine hundred sixty".