313756480800 has 1440 divisors, whose sum is σ = 1378585764864. Its totient is φ = 67931136000.

The previous prime is 313756480799. The next prime is 313756480811. The reversal of 313756480800 is 8084657313.

313756480800 is a `hidden beast` number, since 3 + 1 + 3 + 7 + 564 + 8 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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, 745264590 + ... + 745265010.

Almost surely, 2^313756480800 is an apocalyptic number.

313756480800 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 313756480800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689292882432).

313756480800 is an abundant number, since it is smaller than the sum of its proper divisors (1064829284064).

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

313756480800 is a wasteful number, since it uses less digits than its factorization.

313756480800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 313756480800 in words is "three hundred thirteen billion, seven hundred fifty-six million, four hundred eighty thousand, eight hundred".