90479563776 has 528 divisors, whose sum is σ = 317952485760. Its totient is φ = 24206376960.

The previous prime is 90479563723. The next prime is 90479563781. The reversal of 90479563776 is 67736597409.

90479563776 is a `hidden beast` number, since 90 + 479 + 5 + 6 + 3 + 7 + 76 = 666.

It is a super-2 number, since 2×90479563776² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 118895236 + ... + 118895996.

Almost surely, 2^90479563776 is an apocalyptic number.

90479563776 is a gapful number since it is divisible by the number (96) 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 90479563776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158976242880).

90479563776 is an abundant number, since it is smaller than the sum of its proper divisors (227472921984).

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

90479563776 is a wasteful number, since it uses less digits than its factorization.

90479563776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 889 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 90479563776 in words is "ninety billion, four hundred seventy-nine million, five hundred sixty-three thousand, seven hundred seventy-six".