31864290480 has 960 divisors, whose sum is σ = 129666700800. Its totient is φ = 6927482880.

The previous prime is 31864290467. The next prime is 31864290511. The reversal of 31864290480 is 8409246813.

It is a happy number.

31864290480 is a `hidden beast` number, since 3 + 1 + 86 + 4 + 2 + 90 + 480 = 666.

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 191 ways as a sum of consecutive naturals, for example, 328497792 + ... + 328497888.

It is an arithmetic number, because the mean of its divisors is an integer number (135069480).

Almost surely, 2^31864290480 is an apocalyptic number.

31864290480 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 31864290480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64833350400).

31864290480 is an abundant number, since it is smaller than the sum of its proper divisors (97802410320).

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

31864290480 is a wasteful number, since it uses less digits than its factorization.

31864290480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 31864290480 in words is "thirty-one billion, eight hundred sixty-four million, two hundred ninety thousand, four hundred eighty".