90427761360 has 480 divisors, whose sum is σ = 336971860992. Its totient is φ = 21629583360.

The previous prime is 90427761349. The next prime is 90427761373. The reversal of 90427761360 is 6316772409.

90427761360 is a `hidden beast` number, since 9 + 0 + 4 + 27 + 7 + 613 + 6 + 0 = 666.

It is a super-2 number, since 2×90427761360² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25420702 + ... + 25424258.

Almost surely, 2^90427761360 is an apocalyptic number.

90427761360 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 90427761360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168485930496).

90427761360 is an abundant number, since it is smaller than the sum of its proper divisors (246544099632).

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

90427761360 is a wasteful number, since it uses less digits than its factorization.

90427761360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3691 (or 3682 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 90427761360 in words is "ninety billion, four hundred twenty-seven million, seven hundred sixty-one thousand, three hundred sixty".