90937479709440 has 1728 divisors, whose sum is σ = 410410844153856. Its totient is φ = 18041012748288.

The previous prime is 90937479709429. The next prime is 90937479709441. The reversal of 90937479709440 is 4490797473909.

90937479709440 is a `hidden beast` number, since 9 + 0 + 93 + 7 + 4 + 7 + 97 + 0 + 9 + 440 = 666.

It is a super-2 number, since 2×90937479709440² (a number of 29 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (90937479709441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27498480267 + ... + 27498483573.

It is an arithmetic number, because the mean of its divisors is an integer number (237506275552).

Almost surely, 2^{90937479709440} is an apocalyptic number.

90937479709440 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 90937479709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205205422076928).

90937479709440 is an abundant number, since it is smaller than the sum of its proper divisors (319473364444416).

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

90937479709440 is a wasteful number, since it uses less digits than its factorization.

90937479709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4914 (or 4897 counting only the distinct ones).

The product of its (nonzero) digits is 432081216, while the sum is 72.

The spelling of 90937479709440 in words is "ninety trillion, nine hundred thirty-seven billion, four hundred seventy-nine million, seven hundred nine thousand, four hundred forty".