90905494680 has 2304 divisors, whose sum is σ = 451742054400. Its totient is φ = 15328051200.

The previous prime is 90905494679. The next prime is 90905494681. The reversal of 90905494680 is 8649450909.

90905494680 is a `hidden beast` number, since 9 + 0 + 90 + 5 + 494 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (90905494679) and next prime (90905494681).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90905494681) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1280359045 + ... + 1280359115.

It is an arithmetic number, because the mean of its divisors is an integer number (196068600).

Almost surely, 2^90905494680 is an apocalyptic number.

90905494680 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 90905494680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225871027200).

90905494680 is an abundant number, since it is smaller than the sum of its proper divisors (360836559720).

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

90905494680 is a wasteful number, since it uses less digits than its factorization.

90905494680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

It can be divided in two parts, 90905 and 494680, that added together give a palindrome (585585).

The spelling of 90905494680 in words is "ninety billion, nine hundred five million, four hundred ninety-four thousand, six hundred eighty".