96304406400 has 576 divisors, whose sum is σ = 361001113200. Its totient is φ = 24411340800.

The previous prime is 96304406389. The next prime is 96304406431. The reversal of 96304406400 is 460440369.

96304406400 is a `hidden beast` number, since 9 + 6 + 3 + 0 + 4 + 4 + 0 + 640 + 0 = 666.

96304406400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 55957540 + ... + 55959260.

Almost surely, 2^96304406400 is an apocalyptic number.

96304406400 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 96304406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180500556600).

96304406400 is an abundant number, since it is smaller than the sum of its proper divisors (264696706800).

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

96304406400 is a wasteful number, since it uses less digits than its factorization.

96304406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1847 (or 1827 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 96304406400 its reverse (460440369), we get a palindrome (96764846769).

The spelling of 96304406400 in words is "ninety-six billion, three hundred four million, four hundred six thousand, four hundred".