97982972640 has 576 divisors, whose sum is σ = 408888829440. Its totient is φ = 20867051520.

The previous prime is 97982972569. The next prime is 97982972657. The reversal of 97982972640 is 4627928979.

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 95 ways as a sum of consecutive naturals, for example, 11678527 + ... + 11686913.

It is an arithmetic number, because the mean of its divisors is an integer number (709876440).

Almost surely, 2^97982972640 is an apocalyptic number.

97982972640 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 97982972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204444414720).

97982972640 is an abundant number, since it is smaller than the sum of its proper divisors (310905856800).

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

97982972640 is a wasteful number, since it uses less digits than its factorization.

97982972640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8495 (or 8484 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 97982972640 in words is "ninety-seven billion, nine hundred eighty-two million, nine hundred seventy-two thousand, six hundred forty".