90768606889536 has 315 divisors, whose sum is σ = 271700802566193. Its totient is φ = 29962839029760.

The previous prime is 90768606889501. The next prime is 90768606889537. The reversal of 90768606889536 is 63598860686709.

The square root of 90768606889536 is 9527256.

It is a perfect power (a square), and thus also a powerful number.

90768606889536 is a `hidden beast` number, since 9 + 0 + 76 + 8 + 6 + 0 + 6 + 8 + 8 + 9 + 536 = 666.

90768606889536 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1599415502400 + 89169191387136 = 1264680^2 + 9442944^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (90768606889537) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 77513754231 + ... + 77513755401.

Almost surely, 2^{90768606889536} is an apocalyptic number.

90768606889536 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

90768606889536 is the 9527256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90768606889536

90768606889536 is an abundant number, since it is smaller than the sum of its proper divisors (180932195676657).

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

90768606889536 is an frugal number, since it uses more digits than its factorization.

90768606889536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

90768606889536 divided by its sum of digits (81) gives a square (1120600085056 = 1058584²).

The spelling of 90768606889536 in words is "ninety trillion, seven hundred sixty-eight billion, six hundred six million, eight hundred eighty-nine thousand, five hundred thirty-six".