97685360640 has 416 divisors, whose sum is σ = 396910959360. Its totient is φ = 22327197696.

The previous prime is 97685360609. The next prime is 97685360659. The reversal of 97685360640 is 4606358679.

97685360640 is a `hidden beast` number, since 9 + 7 + 68 + 536 + 0 + 6 + 40 = 666.

It is a super-2 number, since 2×97685360640² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3858102 + ... + 3883338.

Almost surely, 2^97685360640 is an apocalyptic number.

97685360640 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 97685360640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198455479680).

97685360640 is an abundant number, since it is smaller than the sum of its proper divisors (299225598720).

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

97685360640 is a wasteful number, since it uses less digits than its factorization.

97685360640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25282 (or 25254 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 97685360640 in words is "ninety-seven billion, six hundred eighty-five million, three hundred sixty thousand, six hundred forty".