90065727360 has 640 divisors, whose sum is σ = 386966131200. Its totient is φ = 19501461504.

The previous prime is 90065727359. The next prime is 90065727361. The reversal of 90065727360 is 6372756009.

90065727360 is a `hidden beast` number, since 9 + 0 + 0 + 6 + 572 + 73 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90065727359) and next prime (90065727361).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×90065727360² (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 not an unprimeable number, because it can be changed into a prime (90065727361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6888189 + ... + 6901251.

It is an arithmetic number, because the mean of its divisors is an integer number (604634580).

Almost surely, 2^90065727360 is an apocalyptic number.

90065727360 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 90065727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193483065600).

90065727360 is an abundant number, since it is smaller than the sum of its proper divisors (296900403840).

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

90065727360 is a wasteful number, since it uses less digits than its factorization.

90065727360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13120 (or 13099 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 90065727360 in words is "ninety billion, sixty-five million, seven hundred twenty-seven thousand, three hundred sixty".