97742642481792 has 2048 divisors, whose sum is σ = 394080215040000. Its totient is φ = 23093752872960.

The previous prime is 97742642481697. The next prime is 97742642481823. The reversal of 97742642481792 is 29718424624779.

97742642481792 is a `hidden beast` number, since 9 + 7 + 7 + 4 + 26 + 424 + 8 + 179 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 97742642481792.

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, 11892275059 + ... + 11892283277.

It is an arithmetic number, because the mean of its divisors is an integer number (192421980000).

Almost surely, 2^{97742642481792} is an apocalyptic number.

97742642481792 is a gapful number since it is divisible by the number (92) 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 97742642481792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197040107520000).

97742642481792 is an abundant number, since it is smaller than the sum of its proper divisors (296337572558208).

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

97742642481792 is a wasteful number, since it uses less digits than its factorization.

97742642481792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8379 (or 8361 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 72.

The spelling of 97742642481792 in words is "ninety-seven trillion, seven hundred forty-two billion, six hundred forty-two million, four hundred eighty-one thousand, seven hundred ninety-two".