97347893760 has 720 divisors, whose sum is σ = 381295309824. Its totient is φ = 22899621888.

The previous prime is 97347893717. The next prime is 97347893807. The reversal of 97347893760 is 6739874379.

97347893760 is a `hidden beast` number, since 9 + 7 + 3 + 478 + 93 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×97347893760² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 89555937 + ... + 89557023.

Almost surely, 2^97347893760 is an apocalyptic number.

97347893760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97347893760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190647654912).

97347893760 is an abundant number, since it is smaller than the sum of its proper divisors (283947416064).

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

97347893760 is a wasteful number, since it uses less digits than its factorization.

97347893760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 48009024, while the sum is 63.

The spelling of 97347893760 in words is "ninety-seven billion, three hundred forty-seven million, eight hundred ninety-three thousand, seven hundred sixty".