31479786720 has 576 divisors, whose sum is σ = 122084988480. Its totient is φ = 7338000384.

The previous prime is 31479786719. The next prime is 31479786731. The reversal of 31479786720 is 2768797413.

31479786720 is a `hidden beast` number, since 31 + 479 + 78 + 6 + 72 + 0 = 666.

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, 24650722 + ... + 24651998.

It is an arithmetic number, because the mean of its divisors is an integer number (211953105).

Almost surely, 2^31479786720 is an apocalyptic number.

31479786720 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 31479786720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61042494240).

31479786720 is an abundant number, since it is smaller than the sum of its proper divisors (90605201760).

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

31479786720 is a wasteful number, since it uses less digits than its factorization.

31479786720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1387 (or 1376 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 31479786720 in words is "thirty-one billion, four hundred seventy-nine million, seven hundred eighty-six thousand, seven hundred twenty".