96335744400 has 405 divisors, whose sum is σ = 389420264961. Its totient is φ = 21989802240.

The previous prime is 96335744387. The next prime is 96335744413. The reversal of 96335744400 is 444753369.

The square root of 96335744400 is 310380.

It is a perfect power (a square), and thus also a powerful number.

96335744400 is a `hidden beast` number, since 9 + 6 + 33 + 574 + 4 + 40 + 0 = 666.

96335744400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (96335744387) and next prime (96335744413).

It can be written as a sum of positive squares in only one way, i.e., 34680867984 + 61654876416 = 186228^2 + 248304^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 130359231 + ... + 130359969.

Almost surely, 2^96335744400 is an apocalyptic number.

96335744400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

96335744400 is the 310380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96335744400

96335744400 is an abundant number, since it is smaller than the sum of its proper divisors (293084520561).

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

96335744400 is a wasteful number, since it uses less digits than its factorization.

96335744400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 96335744400 in words is "ninety-six billion, three hundred thirty-five million, seven hundred forty-four thousand, four hundred".