90742049008776 has 192 divisors, whose sum is σ = 276731168688000. Its totient is φ = 26619966489600.

The previous prime is 90742049008759. The next prime is 90742049008811. The reversal of 90742049008776 is 67780094024709.

90742049008776 is a `hidden beast` number, since 9 + 0 + 74 + 2 + 0 + 490 + 0 + 8 + 7 + 76 = 666.

It is a super-2 number, since 2×90742049008776² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1948845 + ... + 13611836.

It is an arithmetic number, because the mean of its divisors is an integer number (1441308170250).

Almost surely, 2^{90742049008776} 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 90742049008776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138365584344000).

90742049008776 is an abundant number, since it is smaller than the sum of its proper divisors (185989119679224).

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

90742049008776 is a wasteful number, since it uses less digits than its factorization.

90742049008776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15560940 (or 15560933 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 90742049008776 in words is "ninety trillion, seven hundred forty-two billion, forty-nine million, eight thousand, seven hundred seventy-six".