97017392640 has 480 divisors, whose sum is σ = 374172480000. Its totient is φ = 21004075008.

The previous prime is 97017392627. The next prime is 97017392669. The reversal of 97017392640 is 4629371079.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 97017392640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19404861 + ... + 19409859.

It is an arithmetic number, because the mean of its divisors is an integer number (779526000).

Almost surely, 2^97017392640 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 97017392640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187086240000).

97017392640 is an abundant number, since it is smaller than the sum of its proper divisors (277155087360).

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

97017392640 is a wasteful number, since it uses less digits than its factorization.

97017392640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5070 (or 5035 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The spelling of 97017392640 in words is "ninety-seven billion, seventeen million, three hundred ninety-two thousand, six hundred forty".