90661632425280 has 672 divisors, whose sum is σ = 361089999728640. Its totient is φ = 20449450045440.

The previous prime is 90661632425269. The next prime is 90661632425311. The reversal of 90661632425280 is 8252423616609.

90661632425280 is a `hidden beast` number, since 9 + 0 + 6 + 6 + 16 + 324 + 25 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3202784887 + ... + 3202813193.

It is an arithmetic number, because the mean of its divisors is an integer number (537336309120).

Almost surely, 2^{90661632425280} is an apocalyptic number.

90661632425280 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 90661632425280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180544999864320).

90661632425280 is an abundant number, since it is smaller than the sum of its proper divisors (270428367303360).

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

90661632425280 is a wasteful number, since it uses less digits than its factorization.

90661632425280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30427 (or 30414 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 90661632425280 in words is "ninety trillion, six hundred sixty-one billion, six hundred thirty-two million, four hundred twenty-five thousand, two hundred eighty".