90499631040 has 672 divisors, whose sum is σ = 386273771520. Its totient is φ = 18937110528.

The previous prime is 90499631023. The next prime is 90499631081. The reversal of 90499631040 is 4013699409.

90499631040 is a `hidden beast` number, since 9 + 0 + 4 + 9 + 9 + 631 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×90499631040² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33282801 + ... + 33285519.

It is an arithmetic number, because the mean of its divisors is an integer number (574812160).

Almost surely, 2^90499631040 is an apocalyptic number.

90499631040 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 90499631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193136885760).

90499631040 is an abundant number, since it is smaller than the sum of its proper divisors (295774140480).

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

90499631040 is a wasteful number, since it uses less digits than its factorization.

90499631040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2889 (or 2876 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 90499631040 in words is "ninety billion, four hundred ninety-nine million, six hundred thirty-one thousand, forty".