96672153600 has 684 divisors, whose sum is σ = 380317789800. Its totient is φ = 23278387200.

The previous prime is 96672153581. The next prime is 96672153623. The reversal of 96672153600 is 635127669.

96672153600 is a `hidden beast` number, since 96 + 6 + 7 + 21 + 536 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 648806326 + ... + 648806474.

Almost surely, 2^96672153600 is an apocalyptic number.

96672153600 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 96672153600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190158894900).

96672153600 is an abundant number, since it is smaller than the sum of its proper divisors (283645636200).

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

96672153600 is a wasteful number, since it uses less digits than its factorization.

96672153600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 96672153600 in words is "ninety-six billion, six hundred seventy-two million, one hundred fifty-three thousand, six hundred".