96284764800 has 1728 divisors, whose sum is σ = 438518808000. Its totient is φ = 20849633280.

The previous prime is 96284764753. The next prime is 96284764843. The reversal of 96284764800 is 846748269.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

96284764800 is a `hidden beast` number, since 9 + 628 + 4 + 7 + 6 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 5067619191 + ... + 5067619209.

Almost surely, 2^96284764800 is an apocalyptic number.

96284764800 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 96284764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219259404000).

96284764800 is an abundant number, since it is smaller than the sum of its proper divisors (342234043200).

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

96284764800 is an equidigital number, since it uses as much as digits as its factorization.

96284764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 96284764800 in words is "ninety-six billion, two hundred eighty-four million, seven hundred sixty-four thousand, eight hundred".