97380823680 has 384 divisors, whose sum is σ = 385664872320. Its totient is φ = 22179815424.

The previous prime is 97380823679. The next prime is 97380823703. The reversal of 97380823680 is 8632808379.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11809639 + ... + 11817881.

It is an arithmetic number, because the mean of its divisors is an integer number (1004335605).

Almost surely, 2^97380823680 is an apocalyptic number.

97380823680 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 97380823680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192832436160).

97380823680 is an abundant number, since it is smaller than the sum of its proper divisors (288284048640).

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

97380823680 is a wasteful number, since it uses less digits than its factorization.

97380823680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8568 (or 8553 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 97380823680 in words is "ninety-seven billion, three hundred eighty million, eight hundred twenty-three thousand, six hundred eighty".