92742708036960 has 672 divisors, whose sum is σ = 346196312673120. Its totient is φ = 23402649600000.

The previous prime is 92742708036931. The next prime is 92742708036971. The reversal of 92742708036960 is 6963080724729.

92742708036960 is a `hidden beast` number, since 9 + 2 + 74 + 2 + 70 + 80 + 369 + 60 = 666.

It is a super-3 number, since 3×92742708036960³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1952413210 + ... + 1952460710.

It is an arithmetic number, because the mean of its divisors is an integer number (515173084335).

Almost surely, 2^{92742708036960} is an apocalyptic number.

92742708036960 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 92742708036960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173098156336560).

92742708036960 is an abundant number, since it is smaller than the sum of its proper divisors (253453604636160).

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

92742708036960 is a wasteful number, since it uses less digits than its factorization.

92742708036960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48434 (or 48411 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 92742708036960 in words is "ninety-two trillion, seven hundred forty-two billion, seven hundred eight million, thirty-six thousand, nine hundred sixty".