8031790042560 has 896 divisors, whose sum is σ = 30174673305600. Its totient is φ = 2032039747584.

The previous prime is 8031790042513. The next prime is 8031790042631. The reversal of 8031790042560 is 652400971308.

8031790042560 is a `hidden beast` number, since 80 + 3 + 1 + 7 + 9 + 0 + 0 + 4 + 2 + 560 = 666.

It is a super-2 number, since 2×8031790042560² (a number of 27 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 127 ways as a sum of consecutive naturals, for example, 2044230676 + ... + 2044234604.

It is a 1-persistent number, because it is pandigital, but 2⋅8031790042560 = 16063580085120 is not.

Almost surely, 2^{8031790042560} is an apocalyptic number.

8031790042560 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 8031790042560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15087336652800).

8031790042560 is an abundant number, since it is smaller than the sum of its proper divisors (22142883263040).

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

8031790042560 is a wasteful number, since it uses less digits than its factorization.

8031790042560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4117 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 8031790042560 in words is "eight trillion, thirty-one billion, seven hundred ninety million, forty-two thousand, five hundred sixty".