97627104960 has 448 divisors, whose sum is σ = 409188879360. Its totient is φ = 19092602880.

The previous prime is 97627104929. The next prime is 97627104979. The reversal of 97627104960 is 6940172679.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1217796 + ... + 1295484.

Almost surely, 2^97627104960 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 97627104960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204594439680).

97627104960 is an abundant number, since it is smaller than the sum of its proper divisors (311561774400).

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

97627104960 is a wasteful number, since it uses less digits than its factorization.

97627104960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77744 (or 77734 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The spelling of 97627104960 in words is "ninety-seven billion, six hundred twenty-seven million, one hundred four thousand, nine hundred sixty".