96738624000 has 400 divisors, whose sum is σ = 360365981976. Its totient is φ = 25795584000.

The previous prime is 96738623999. The next prime is 96738624007. The reversal of 96738624000 is 42683769.

It can be written as a sum of positive squares in 4 ways, for example, as 10189691136 + 86548932864 = 100944^2 + 294192^2 .

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×96738624000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (96738624007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5174670 + ... + 5193330.

Almost surely, 2^96738624000 is an apocalyptic number.

96738624000 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 96738624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180182990988).

96738624000 is an abundant number, since it is smaller than the sum of its proper divisors (263627357976).

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

96738624000 is an equidigital number, since it uses as much as digits as its factorization.

96738624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18706 (or 18671 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 96738624000 in words is "ninety-six billion, seven hundred thirty-eight million, six hundred twenty-four thousand".