8031642480 has 200 divisors, whose sum is σ = 27965775552. Its totient is φ = 2136347136.

The previous prime is 8031642431. The next prime is 8031642499. The reversal of 8031642480 is 842461308.

8031642480 is a `hidden beast` number, since 8 + 0 + 3 + 1 + 642 + 4 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2998902 + ... + 3001578.

Almost surely, 2^8031642480 is an apocalyptic number.

8031642480 is a gapful number since it is divisible by the number (80) 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 8031642480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13982887776).

8031642480 is an abundant number, since it is smaller than the sum of its proper divisors (19934133072).

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

8031642480 is a wasteful number, since it uses less digits than its factorization.

8031642480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3150 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 8031642480 is about 89619.4313751209. The cubic root of 8031642480 is about 2002.6334044021.

The spelling of 8031642480 in words is "eight billion, thirty-one million, six hundred forty-two thousand, four hundred eighty".