318664765440 has 1248 divisors, whose sum is σ = 1389455712000. Its totient is φ = 68892622848.

The previous prime is 318664765439. The next prime is 318664765499. The reversal of 318664765440 is 44567466813.

318664765440 is a `hidden beast` number, since 3 + 1 + 86 + 6 + 476 + 54 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 514805451 + ... + 514806069.

Almost surely, 2^318664765440 is an apocalyptic number.

318664765440 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 318664765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694727856000).

318664765440 is an abundant number, since it is smaller than the sum of its proper divisors (1070790946560).

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

318664765440 is a wasteful number, since it uses less digits than its factorization.

318664765440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 318664765440 in words is "three hundred eighteen billion, six hundred sixty-four million, seven hundred sixty-five thousand, four hundred forty".