90432168840 has 384 divisors, whose sum is σ = 320999777280. Its totient is φ = 21946982400.

The previous prime is 90432168817. The next prime is 90432168857. The reversal of 90432168840 is 4886123409.

It is a happy number.

90432168840 is a `hidden beast` number, since 90 + 432 + 16 + 88 + 40 = 666.

It is a super-2 number, since 2×90432168840² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 143315325 + ... + 143315955.

It is an arithmetic number, because the mean of its divisors is an integer number (835936920).

Almost surely, 2^90432168840 is an apocalyptic number.

90432168840 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 90432168840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160499888640).

90432168840 is an abundant number, since it is smaller than the sum of its proper divisors (230567608440).

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

90432168840 is a wasteful number, since it uses less digits than its factorization.

90432168840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1045 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 90432168840 in words is "ninety billion, four hundred thirty-two million, one hundred sixty-eight thousand, eight hundred forty".