97408726272 has 432 divisors, whose sum is σ = 338048133696. Its totient is φ = 26578944000.

The previous prime is 97408726271. The next prime is 97408726333. The reversal of 97408726272 is 27262780479.

It is a happy number.

97408726272 is a `hidden beast` number, since 9 + 7 + 4 + 0 + 8 + 7 + 2 + 627 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97408726271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13504747 + ... + 13511957.

It is an arithmetic number, because the mean of its divisors is an integer number (782518828).

Almost surely, 2^97408726272 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 97408726272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169024066848).

97408726272 is an abundant number, since it is smaller than the sum of its proper divisors (240639407424).

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

97408726272 is a wasteful number, since it uses less digits than its factorization.

97408726272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7298 (or 7281 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 97408726272 in words is "ninety-seven billion, four hundred eight million, seven hundred twenty-six thousand, two hundred seventy-two".