31457272320 has 640 divisors, whose sum is σ = 117943879680. Its totient is φ = 7936081920.

The previous prime is 31457272307. The next prime is 31457272331. The reversal of 31457272320 is 2327275413.

31457272320 is a `hidden beast` number, since 3 + 14 + 57 + 272 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113564022 + ... + 113564298.

It is an arithmetic number, because the mean of its divisors is an integer number (184287312).

Almost surely, 2^31457272320 is an apocalyptic number.

31457272320 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 31457272320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58971939840).

31457272320 is an abundant number, since it is smaller than the sum of its proper divisors (86486607360).

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

31457272320 is a wasteful number, since it uses less digits than its factorization.

31457272320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 31457272320 in words is "thirty-one billion, four hundred fifty-seven million, two hundred seventy-two thousand, three hundred twenty".