97213768704 has 440 divisors, whose sum is σ = 316454818680. Its totient is φ = 29546643456.

The previous prime is 97213768693. The next prime is 97213768747. The reversal of 97213768704 is 40786731279.

It can be written as a sum of positive squares in 4 ways, for example, as 10749542400 + 86464226304 = 103680^2 + 294048^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95965702 + ... + 95966714.

It is an arithmetic number, because the mean of its divisors is an integer number (719215497).

Almost surely, 2^97213768704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97213768704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158227409340).

97213768704 is an abundant number, since it is smaller than the sum of its proper divisors (219241049976).

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

97213768704 is a wasteful number, since it uses less digits than its factorization.

97213768704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 97213768704 in words is "ninety-seven billion, two hundred thirteen million, seven hundred sixty-eight thousand, seven hundred four".