90374352480 has 192 divisors, whose sum is σ = 316798776000. Its totient is φ = 24062607360.

The previous prime is 90374352457. The next prime is 90374352521. The reversal of 90374352480 is 8425347309.

90374352480 is a `hidden beast` number, since 9 + 0 + 3 + 7 + 43 + 524 + 80 = 666.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2839696 + ... + 2871344.

It is an arithmetic number, because the mean of its divisors is an integer number (1649993625).

Almost surely, 2^90374352480 is an apocalyptic number.

90374352480 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 90374352480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158399388000).

90374352480 is an abundant number, since it is smaller than the sum of its proper divisors (226424423520).

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

90374352480 is a wasteful number, since it uses less digits than its factorization.

90374352480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32334 (or 32320 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

Adding to 90374352480 its reverse (8425347309), we get a palindrome (98799699789).

The spelling of 90374352480 in words is "ninety billion, three hundred seventy-four million, three hundred fifty-two thousand, four hundred eighty".