90690498662400 has 2808 divisors, whose sum is σ = 405012591749376. Its totient is φ = 18991389081600.

The previous prime is 90690498662383. The next prime is 90690498662461. The reversal of 90690498662400 is 426689409609.

90690498662400 is a `hidden beast` number, since 9 + 0 + 6 + 90 + 4 + 9 + 86 + 62 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 210418790185 + ... + 210418790615.

It is an arithmetic number, because the mean of its divisors is an integer number (144235253472).

Almost surely, 2^{90690498662400} is an apocalyptic number.

90690498662400 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 90690498662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202506295874688).

90690498662400 is an abundant number, since it is smaller than the sum of its proper divisors (314322093086976).

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

90690498662400 is a wasteful number, since it uses less digits than its factorization.

90690498662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 90690498662400 in words is "ninety trillion, six hundred ninety billion, four hundred ninety-eight million, six hundred sixty-two thousand, four hundred".