97987760640 has 2400 divisors, whose sum is σ = 488968596864. Its totient is φ = 18154782720.

The previous prime is 97987760639. The next prime is 97987760653. The reversal of 97987760640 is 4606778979.

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5157250551 + ... + 5157250569.

Almost surely, 2^97987760640 is an apocalyptic number.

97987760640 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 97987760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244484298432).

97987760640 is an abundant number, since it is smaller than the sum of its proper divisors (390980836224).

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

97987760640 is a wasteful number, since it uses less digits than its factorization.

97987760640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 97987760640 in words is "ninety-seven billion, nine hundred eighty-seven million, seven hundred sixty thousand, six hundred forty".