31968814320 has 200 divisors, whose sum is σ = 111256520496. Its totient is φ = 8507814912.

The previous prime is 31968814309. The next prime is 31968814337. The reversal of 31968814320 is 2341886913.

31968814320 is a `hidden beast` number, since 319 + 6 + 8 + 8 + 1 + 4 + 320 = 666.

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 39 ways as a sum of consecutive naturals, for example, 3384324 + ... + 3393756.

Almost surely, 2^31968814320 is an apocalyptic number.

31968814320 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 31968814320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55628260248).

31968814320 is an abundant number, since it is smaller than the sum of its proper divisors (79287706176).

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

31968814320 is a wasteful number, since it uses less digits than its factorization.

31968814320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9981 (or 9966 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 31968814320 in words is "thirty-one billion, nine hundred sixty-eight million, eight hundred fourteen thousand, three hundred twenty".