964401385920 has 896 divisors, whose sum is σ = 3893325004800. Its totient is φ = 197177131008.

The previous prime is 964401385919. The next prime is 964401386009. The reversal of 964401385920 is 29583104469.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 231992482 + ... + 231996638.

It is an arithmetic number, because the mean of its divisors is an integer number (4345228800).

Almost surely, 2^964401385920 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 964401385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1946662502400).

964401385920 is an abundant number, since it is smaller than the sum of its proper divisors (2928923618880).

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

964401385920 is a wasteful number, since it uses less digits than its factorization.

964401385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4305 (or 4295 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 964401385920 in words is "nine hundred sixty-four billion, four hundred one million, three hundred eighty-five thousand, nine hundred twenty".