90007947360 has 192 divisors, whose sum is σ = 316338644160. Its totient is φ = 23902248960.

The previous prime is 90007947317. The next prime is 90007947371. The reversal of 90007947360 is 6374970009.

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 31 ways as a sum of consecutive naturals, for example, 997894 + ... + 1084346.

It is an arithmetic number, because the mean of its divisors is an integer number (1647597105).

Almost surely, 2^90007947360 is an apocalyptic number.

90007947360 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 90007947360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158169322080).

90007947360 is an abundant number, since it is smaller than the sum of its proper divisors (226330696800).

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

90007947360 is a wasteful number, since it uses less digits than its factorization.

90007947360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86718 (or 86704 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The spelling of 90007947360 in words is "ninety billion, seven million, nine hundred forty-seven thousand, three hundred sixty".