90733929661440 has 792 divisors, whose sum is σ = 341708350056840. Its totient is φ = 22250964123648.

The previous prime is 90733929661421. The next prime is 90733929661481. The reversal of 90733929661440 is 4416692933709.

90733929661440 is a `hidden beast` number, since 9 + 0 + 7 + 3 + 3 + 9 + 2 + 9 + 6 + 614 + 4 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 42899775243264 + 47834154418176 = 6549792^2 + 6916224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2094821224 + ... + 2094864536.

Almost surely, 2^{90733929661440} is an apocalyptic number.

90733929661440 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 90733929661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170854175028420).

90733929661440 is an abundant number, since it is smaller than the sum of its proper divisors (250974420395400).

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

90733929661440 is a wasteful number, since it uses less digits than its factorization.

90733929661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43639 (or 43605 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 90733929661440 in words is "ninety trillion, seven hundred thirty-three billion, nine hundred twenty-nine million, six hundred sixty-one thousand, four hundred forty".