31370868480 has 288 divisors, whose sum is σ = 115115986944. Its totient is φ = 7132151808.

The previous prime is 31370868457. The next prime is 31370868481. The reversal of 31370868480 is 8486807313.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31370868481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5184817 + ... + 5190863.

It is an arithmetic number, because the mean of its divisors is an integer number (399708288).

Almost surely, 2^31370868480 is an apocalyptic number.

31370868480 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 31370868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57557993472).

31370868480 is an abundant number, since it is smaller than the sum of its proper divisors (83745118464).

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

31370868480 is a wasteful number, since it uses less digits than its factorization.

31370868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6271 (or 6257 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 31370868480 in words is "thirty-one billion, three hundred seventy million, eight hundred sixty-eight thousand, four hundred eighty".