313472076840 has 960 divisors, whose sum is σ = 1243550880000. Its totient is φ = 70512519168.

The previous prime is 313472076839. The next prime is 313472076877. The reversal of 313472076840 is 48670274313.

313472076840 is a `hidden beast` number, since 3 + 1 + 347 + 207 + 68 + 40 = 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 239 ways as a sum of consecutive naturals, for example, 301705041 + ... + 301706079.

It is an arithmetic number, because the mean of its divisors is an integer number (1295365500).

Almost surely, 2^313472076840 is an apocalyptic number.

313472076840 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 313472076840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621775440000).

313472076840 is an abundant number, since it is smaller than the sum of its proper divisors (930078803160).

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

313472076840 is a wasteful number, since it uses less digits than its factorization.

313472076840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 313472076840 in words is "three hundred thirteen billion, four hundred seventy-two million, seventy-six thousand, eight hundred forty".