90427320720 has 480 divisors, whose sum is σ = 366044500224. Its totient is φ = 19734528000.

The previous prime is 90427320713. The next prime is 90427320751. The reversal of 90427320720 is 2702372409.

90427320720 is a `hidden beast` number, since 9 + 0 + 427 + 3 + 207 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3082120 + ... + 3111320.

Almost surely, 2^90427320720 is an apocalyptic number.

90427320720 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 90427320720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183022250112).

90427320720 is an abundant number, since it is smaller than the sum of its proper divisors (275617179504).

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

90427320720 is a wasteful number, since it uses less digits than its factorization.

90427320720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29271 (or 29262 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 90427320720 in words is "ninety billion, four hundred twenty-seven million, three hundred twenty thousand, seven hundred twenty".