96124734720 has 1728 divisors, whose sum is σ = 433910131200. Its totient is φ = 20288765952.

The previous prime is 96124734701. The next prime is 96124734751. The reversal of 96124734720 is 2743742169.

96124734720 is a `hidden beast` number, since 9 + 61 + 247 + 347 + 2 + 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1813674214 + ... + 1813674266.

It is an arithmetic number, because the mean of its divisors is an integer number (251105400).

Almost surely, 2^96124734720 is an apocalyptic number.

96124734720 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 96124734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216955065600).

96124734720 is an abundant number, since it is smaller than the sum of its proper divisors (337785396480).

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

96124734720 is an equidigital number, since it uses as much as digits as its factorization.

96124734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 96124734720 in words is "ninety-six billion, one hundred twenty-four million, seven hundred thirty-four thousand, seven hundred twenty".