90481880736 has 240 divisors, whose sum is σ = 288288138600. Its totient is φ = 27838826496.

The previous prime is 90481880719. The next prime is 90481880747. The reversal of 90481880736 is 63708818409.

90481880736 is a `hidden beast` number, since 90 + 481 + 8 + 8 + 0 + 73 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 229704336 + 90252176400 = 15156^2 + 300420^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5686680 + ... + 5702568.

Almost surely, 2^90481880736 is an apocalyptic number.

90481880736 is a gapful number since it is divisible by the number (96) 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 90481880736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144144069300).

90481880736 is an abundant number, since it is smaller than the sum of its proper divisors (197806257864).

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

90481880736 is a wasteful number, since it uses less digits than its factorization.

90481880736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15950 (or 15907 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 90481880736 in words is "ninety billion, four hundred eighty-one million, eight hundred eighty thousand, seven hundred thirty-six".