96846520320 has 896 divisors, whose sum is σ = 396337536000. Its totient is φ = 22189178880.

The previous prime is 96846520319. The next prime is 96846520333. The reversal of 96846520320 is 2302564869.

96846520320 is a `hidden beast` number, since 9 + 68 + 46 + 520 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 231137071 + ... + 231137489.

It is an arithmetic number, because the mean of its divisors is an integer number (442341000).

Almost surely, 2^96846520320 is an apocalyptic number.

96846520320 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 96846520320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198168768000).

96846520320 is an abundant number, since it is smaller than the sum of its proper divisors (299491015680).

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

96846520320 is a wasteful number, since it uses less digits than its factorization.

96846520320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 96846520320 in words is "ninety-six billion, eight hundred forty-six million, five hundred twenty thousand, three hundred twenty".