96024614400 has 1920 divisors, whose sum is σ = 434747174400. Its totient is φ = 20437401600.

The previous prime is 96024614369. The next prime is 96024614407. The reversal of 96024614400 is 441642069.

96024614400 is a `hidden beast` number, since 9 + 6 + 0 + 246 + 1 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96024614407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1433203167 + ... + 1433203233.

It is an arithmetic number, because the mean of its divisors is an integer number (226430820).

Almost surely, 2^96024614400 is an apocalyptic number.

96024614400 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 96024614400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217373587200).

96024614400 is an abundant number, since it is smaller than the sum of its proper divisors (338722560000).

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

96024614400 is a wasteful number, since it uses less digits than its factorization.

96024614400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 96024614400 in words is "ninety-six billion, twenty-four million, six hundred fourteen thousand, four hundred".