31760872416 has 720 divisors, whose sum is σ = 121657957344. Its totient is φ = 7914350592.

The previous prime is 31760872411. The next prime is 31760872427. The reversal of 31760872416 is 61427806713.

31760872416 is a `hidden beast` number, since 3 + 1 + 7 + 608 + 7 + 24 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31760872411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85149606 + ... + 85149978.

Almost surely, 2^31760872416 is an apocalyptic number.

31760872416 is a gapful number since it is divisible by the number (36) 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 31760872416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60828978672).

31760872416 is an abundant number, since it is smaller than the sum of its proper divisors (89897084928).

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

31760872416 is a wasteful number, since it uses less digits than its factorization.

31760872416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 31760872416 in words is "thirty-one billion, seven hundred sixty million, eight hundred seventy-two thousand, four hundred sixteen".