318673232640 has 1728 divisors, whose sum is σ = 1392797952000. Its totient is φ = 69645090816.

The previous prime is 318673232599. The next prime is 318673232653. The reversal of 318673232640 is 46232376813.

318673232640 is a `hidden beast` number, since 3 + 1 + 8 + 67 + 323 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×318673232640² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3093914829 + ... + 3093914931.

Almost surely, 2^318673232640 is an apocalyptic number.

318673232640 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 318673232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696398976000).

318673232640 is an abundant number, since it is smaller than the sum of its proper divisors (1074124719360).

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

318673232640 is an equidigital number, since it uses as much as digits as its factorization.

318673232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 318673232640 in words is "three hundred eighteen billion, six hundred seventy-three million, two hundred thirty-two thousand, six hundred forty".