964216222560 has 576 divisors, whose sum is σ = 3567328128000. Its totient is φ = 236400353280.

The previous prime is 964216222531. The next prime is 964216222577. The reversal of 964216222560 is 65222612469.

964216222560 is a `hidden beast` number, since 9 + 6 + 4 + 2 + 1 + 62 + 22 + 560 = 666.

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 95 ways as a sum of consecutive naturals, for example, 127521180 + ... + 127528740.

It is an arithmetic number, because the mean of its divisors is an integer number (6193278000).

Almost surely, 2^964216222560 is an apocalyptic number.

964216222560 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 964216222560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783664064000).

964216222560 is an abundant number, since it is smaller than the sum of its proper divisors (2603111905440).

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

964216222560 is a wasteful number, since it uses less digits than its factorization.

964216222560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7739 (or 7728 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 964216222560 in words is "nine hundred sixty-four billion, two hundred sixteen million, two hundred twenty-two thousand, five hundred sixty".