96518600640 has 1008 divisors, whose sum is σ = 426300192864. Its totient is φ = 19818086400.

The previous prime is 96518600639. The next prime is 96518600701. The reversal of 96518600640 is 4600681569.

96518600640 is a `hidden beast` number, since 96 + 518 + 6 + 0 + 0 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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 143 ways as a sum of consecutive naturals, for example, 150574720 + ... + 150575360.

It is an arithmetic number, because the mean of its divisors is an integer number (422916858).

Almost surely, 2^96518600640 is an apocalyptic number.

96518600640 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 96518600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213150096432).

96518600640 is an abundant number, since it is smaller than the sum of its proper divisors (329781592224).

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

96518600640 is a wasteful number, since it uses less digits than its factorization.

96518600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 96518600640 in words is "ninety-six billion, five hundred eighteen million, six hundred thousand, six hundred forty".