96649059939264 has 672 divisors, whose sum is σ = 333992238694400. Its totient is φ = 26142618378240.

The previous prime is 96649059939259. The next prime is 96649059939281. The reversal of 96649059939264 is 46293995094669.

96649059939264 is a `hidden beast` number, since 9 + 6 + 6 + 490 + 5 + 99 + 39 + 2 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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, 1076261214 + ... + 1076351010.

Almost surely, 2^{96649059939264} 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 96649059939264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166996119347200).

96649059939264 is an abundant number, since it is smaller than the sum of its proper divisors (237343178755136).

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

96649059939264 is a wasteful number, since it uses less digits than its factorization.

96649059939264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90041 (or 90028 counting only the distinct ones).

The product of its (nonzero) digits is 6122200320, while the sum is 81.

The spelling of 96649059939264 in words is "ninety-six trillion, six hundred forty-nine billion, fifty-nine million, nine hundred thirty-nine thousand, two hundred sixty-four".