90744791040 has 336 divisors, whose sum is σ = 323112996648. Its totient is φ = 23541055488.

The previous prime is 90744791021. The next prime is 90744791041. The reversal of 90744791040 is 4019744709.

90744791040 is a `hidden beast` number, since 9 + 0 + 74 + 479 + 104 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65896943616 + 24847847424 = 256704^2 + 157632^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (90744791041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13636354 + ... + 13643006.

Almost surely, 2^90744791040 is an apocalyptic number.

90744791040 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 90744791040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161556498324).

90744791040 is an abundant number, since it is smaller than the sum of its proper divisors (232368205608).

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

90744791040 is a wasteful number, since it uses less digits than its factorization.

90744791040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6727 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 90744791040 in words is "ninety billion, seven hundred forty-four million, seven hundred ninety-one thousand, forty".