96700593733632 has 864 divisors, whose sum is σ = 337907779574400. Its totient is φ = 27246697906176.

The previous prime is 96700593733603. The next prime is 96700593733643. The reversal of 96700593733632 is 23633739500769.

It is a happy number.

96700593733632 is a `hidden beast` number, since 9 + 6 + 7 + 0 + 0 + 593 + 7 + 3 + 3 + 6 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×96700593733632² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 96700593733632.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12658798869 + ... + 12658806507.

It is an arithmetic number, because the mean of its divisors is an integer number (391096967100).

Almost surely, 2^{96700593733632} 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 96700593733632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168953889787200).

96700593733632 is an abundant number, since it is smaller than the sum of its proper divisors (241207185840768).

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

96700593733632 is an frugal number, since it uses more digits than its factorization.

96700593733632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7769 (or 7724 counting only the distinct ones).

The product of its (nonzero) digits is 115736040, while the sum is 63.

The spelling of 96700593733632 in words is "ninety-six trillion, seven hundred billion, five hundred ninety-three million, seven hundred thirty-three thousand, six hundred thirty-two".