31791460680 has 576 divisors, whose sum is σ = 124531570800. Its totient is φ = 7008583680.

The previous prime is 31791460663. The next prime is 31791460709. The reversal of 31791460680 is 8606419713.

It is a happy number.

31791460680 is a `hidden beast` number, since 31 + 7 + 9 + 1 + 4 + 606 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 34082244 + 31757378436 = 5838^2 + 178206^2 .

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 143 ways as a sum of consecutive naturals, for example, 81725926 + ... + 81726314.

Almost surely, 2^31791460680 is an apocalyptic number.

31791460680 is a gapful number since it is divisible by the number (30) 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 31791460680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62265785400).

31791460680 is an abundant number, since it is smaller than the sum of its proper divisors (92740110120).

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

31791460680 is a wasteful number, since it uses less digits than its factorization.

31791460680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 31791460680 in words is "thirty-one billion, seven hundred ninety-one million, four hundred sixty thousand, six hundred eighty".