96647868340800 has 672 divisors, whose sum is σ = 378319142572800. Its totient is φ = 21133480919040.

The previous prime is 96647868340717. The next prime is 96647868340813. The reversal of 96647868340800 is 804386874669.

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

It is a super-2 number, since 2×96647868340800² (a number of 29 digits) contains 22 as substring.

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, 105754614 + ... + 106664586.

Almost surely, 2^{96647868340800} 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 96647868340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189159571286400).

96647868340800 is an abundant number, since it is smaller than the sum of its proper divisors (281671274232000).

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

96647868340800 is a wasteful number, since it uses less digits than its factorization.

96647868340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910143 (or 910128 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 69.

The spelling of 96647868340800 in words is "ninety-six trillion, six hundred forty-seven billion, eight hundred sixty-eight million, three hundred forty thousand, eight hundred".