90425672568 has 480 divisors, whose sum is σ = 323044444800. Its totient is φ = 23127223680.

The previous prime is 90425672509. The next prime is 90425672581. The reversal of 90425672568 is 86527652409.

90425672568 is a `hidden beast` number, since 9 + 0 + 4 + 2 + 5 + 6 + 72 + 568 = 666.

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

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 119 ways as a sum of consecutive naturals, for example, 36772123 + ... + 36774581.

It is an arithmetic number, because the mean of its divisors is an integer number (673009260).

Almost surely, 2^90425672568 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 90425672568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161522222400).

90425672568 is an abundant number, since it is smaller than the sum of its proper divisors (232618772232).

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

90425672568 is a wasteful number, since it uses less digits than its factorization.

90425672568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2549 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 90425672568 in words is "ninety billion, four hundred twenty-five million, six hundred seventy-two thousand, five hundred sixty-eight".