97340577120864 has 1536 divisors, whose sum is σ = 372943237201920. Its totient is φ = 23966104780800.

The previous prime is 97340577120851. The next prime is 97340577120877. The reversal of 97340577120864 is 46802177504379.

97340577120864 is a `hidden beast` number, since 9 + 7 + 3 + 40 + 577 + 12 + 0 + 8 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (97340577120851) and next prime (97340577120877).

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 255 ways as a sum of consecutive naturals, for example, 51970408632 + ... + 51970410504.

It is an arithmetic number, because the mean of its divisors is an integer number (242801586720).

It is a 1-persistent number, because it is pandigital, but 2⋅97340577120864 = 194681154241728 is not.

Almost surely, 2^{97340577120864} 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 97340577120864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186471618600960).

97340577120864 is an abundant number, since it is smaller than the sum of its proper divisors (275602660081056).

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

97340577120864 is a wasteful number, since it uses less digits than its factorization.

97340577120864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2467 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 97340577120864 in words is "ninety-seven trillion, three hundred forty billion, five hundred seventy-seven million, one hundred twenty thousand, eight hundred sixty-four".