31475463840 has 768 divisors, whose sum is σ = 121927680000. Its totient is φ = 7554539520.

The previous prime is 31475463829. The next prime is 31475463869. The reversal of 31475463840 is 4836457413.

31475463840 is a `hidden beast` number, since 3 + 1 + 4 + 7 + 5 + 4 + 638 + 4 + 0 = 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 127 ways as a sum of consecutive naturals, for example, 158168061 + ... + 158168259.

It is an arithmetic number, because the mean of its divisors is an integer number (158760000).

Almost surely, 2^31475463840 is an apocalyptic number.

31475463840 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 31475463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60963840000).

31475463840 is an abundant number, since it is smaller than the sum of its proper divisors (90452216160).

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

31475463840 is a wasteful number, since it uses less digits than its factorization.

31475463840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 31475463840 in words is "thirty-one billion, four hundred seventy-five million, four hundred sixty-three thousand, eight hundred forty".