97355748672 has 336 divisors, whose sum is σ = 345030999040. Its totient is φ = 25558032384.

The previous prime is 97355748667. The next prime is 97355748701. The reversal of 97355748672 is 27684755379.

97355748672 is a `hidden beast` number, since 9 + 7 + 3 + 557 + 4 + 8 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 11684604 + ... + 11692932.

Almost surely, 2^97355748672 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 97355748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172515499520).

97355748672 is an abundant number, since it is smaller than the sum of its proper divisors (247675250368).

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

97355748672 is a wasteful number, since it uses less digits than its factorization.

97355748672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8590 (or 8577 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 63.

The spelling of 97355748672 in words is "ninety-seven billion, three hundred fifty-five million, seven hundred forty-eight thousand, six hundred seventy-two".