90507384396 has 288 divisors, whose sum is σ = 295138142208. Its totient is φ = 23826908160.

The previous prime is 90507384377. The next prime is 90507384397. The reversal of 90507384396 is 69348370509.

90507384396 is a `hidden beast` number, since 9 + 0 + 507 + 3 + 8 + 43 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (90507384397) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2343781 + ... + 2382083.

It is an arithmetic number, because the mean of its divisors is an integer number (1024785216).

Almost surely, 2^90507384396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90507384396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147569071104).

90507384396 is an abundant number, since it is smaller than the sum of its proper divisors (204630757812).

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

90507384396 is a wasteful number, since it uses less digits than its factorization.

90507384396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38363 (or 38349 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 90507384396 in words is "ninety billion, five hundred seven million, three hundred eighty-four thousand, three hundred ninety-six".