96243672960 has 512 divisors, whose sum is σ = 358998220800. Its totient is φ = 24320507904.

The previous prime is 96243672923. The next prime is 96243672961. The reversal of 96243672960 is 6927634269.

96243672960 is a `hidden beast` number, since 9 + 624 + 3 + 6 + 7 + 2 + 9 + 6 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 96243672897 and 96243672906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96243672961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44909649 + ... + 44911791.

It is an arithmetic number, because the mean of its divisors is an integer number (701168400).

Almost surely, 2^96243672960 is an apocalyptic number.

96243672960 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 96243672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179499110400).

96243672960 is an abundant number, since it is smaller than the sum of its proper divisors (262754547840).

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

96243672960 is a wasteful number, since it uses less digits than its factorization.

96243672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 96243672960 in words is "ninety-six billion, two hundred forty-three million, six hundred seventy-two thousand, nine hundred sixty".