318090793680 has 480 divisors, whose sum is σ = 1229862890880. Its totient is φ = 72866304000.

The previous prime is 318090793637. The next prime is 318090793693. The reversal of 318090793680 is 86397090813.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63349570 + ... + 63354590.

It is an arithmetic number, because the mean of its divisors is an integer number (2562214356).

Almost surely, 2^318090793680 is an apocalyptic number.

318090793680 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 318090793680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614931445440).

318090793680 is an abundant number, since it is smaller than the sum of its proper divisors (911772097200).

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

318090793680 is a wasteful number, since it uses less digits than its factorization.

318090793680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5491 (or 5482 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 318090793680 in words is "three hundred eighteen billion, ninety million, seven hundred ninety-three thousand, six hundred eighty".