97637074272 has 192 divisors, whose sum is σ = 288647835840. Its totient is φ = 32105299968.

The previous prime is 97637074217. The next prime is 97637074279. The reversal of 97637074272 is 27247073679.

97637074272 is a `hidden beast` number, since 97 + 63 + 70 + 7 + 427 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97637074279) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28241568 + ... + 28245024.

It is an arithmetic number, because the mean of its divisors is an integer number (1503374145).

Almost surely, 2^97637074272 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 97637074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144323917920).

97637074272 is an abundant number, since it is smaller than the sum of its proper divisors (191010761568).

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

97637074272 is a wasteful number, since it uses less digits than its factorization.

97637074272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3910 (or 3896 counting only the distinct ones).

The product of its (nonzero) digits is 6223392, while the sum is 54.

The spelling of 97637074272 in words is "ninety-seven billion, six hundred thirty-seven million, seventy-four thousand, two hundred seventy-two".