331218800640 has 1872 divisors, whose sum is σ = 1496554675200. Its totient is φ = 67629219840.

The previous prime is 331218800617. The next prime is 331218800669. The reversal of 331218800640 is 46008812133.

331218800640 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 1 + 8 + 8 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 331218800595 and 331218800604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10684477425 + ... + 10684477455.

It is an arithmetic number, because the mean of its divisors is an integer number (799441600).

Almost surely, 2^331218800640 is an apocalyptic number.

331218800640 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 331218800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748277337600).

331218800640 is an abundant number, since it is smaller than the sum of its proper divisors (1165335874560).

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

331218800640 is a wasteful number, since it uses less digits than its factorization.

331218800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 331218800640 in words is "three hundred thirty-one billion, two hundred eighteen million, eight hundred thousand, six hundred forty".