31272722640 has 480 divisors, whose sum is σ = 115112275200. Its totient is φ = 7576436736.

The previous prime is 31272722629. The next prime is 31272722651. The reversal of 31272722640 is 4622727213.

It is a happy number.

31272722640 is a `hidden beast` number, since 3 + 1 + 2 + 7 + 2 + 7 + 2 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (31272722629) and next prime (31272722651).

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

It is a junction number, because it is equal to n+sod(n) for n = 31272722595 and 31272722604.

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, 90122947 + ... + 90123293.

It is an arithmetic number, because the mean of its divisors is an integer number (239817240).

Almost surely, 2^31272722640 is an apocalyptic number.

31272722640 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 31272722640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57556137600).

31272722640 is an abundant number, since it is smaller than the sum of its proper divisors (83839552560).

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

31272722640 is a wasteful number, since it uses less digits than its factorization.

31272722640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 31272722640 in words is "thirty-one billion, two hundred seventy-two million, seven hundred twenty-two thousand, six hundred forty".