97308076320 has 576 divisors, whose sum is σ = 416434846464. Its totient is φ = 20142120960.

The previous prime is 97308076297. The next prime is 97308076339. The reversal of 97308076320 is 2367080379.

It is a happy number.

97308076320 is a `hidden beast` number, since 9 + 7 + 3 + 0 + 8 + 0 + 7 + 632 + 0 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6938115 + ... + 6952125.

It is an arithmetic number, because the mean of its divisors is an integer number (722977164).

Almost surely, 2^97308076320 is an apocalyptic number.

97308076320 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 97308076320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208217423232).

97308076320 is an abundant number, since it is smaller than the sum of its proper divisors (319126770144).

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

97308076320 is a wasteful number, since it uses less digits than its factorization.

97308076320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14105 (or 14094 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 97308076320 in words is "ninety-seven billion, three hundred eight million, seventy-six thousand, three hundred twenty".