96964325640 has 960 divisors, whose sum is σ = 423804648960. Its totient is φ = 19360373760.

The previous prime is 96964325599. The next prime is 96964325651. The reversal of 96964325640 is 4652346969.

It is a super-2 number, since 2×96964325640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 106436785 + ... + 106437695.

It is an arithmetic number, because the mean of its divisors is an integer number (441463176).

Almost surely, 2^96964325640 is an apocalyptic number.

96964325640 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 96964325640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211902324480).

96964325640 is an abundant number, since it is smaller than the sum of its proper divisors (326840323320).

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

96964325640 is a wasteful number, since it uses less digits than its factorization.

96964325640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 992 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 96964325640 in words is "ninety-six billion, nine hundred sixty-four million, three hundred twenty-five thousand, six hundred forty".