331644484080 has 640 divisors, whose sum is σ = 1419682467840. Its totient is φ = 69289758720.

The previous prime is 331644484079. The next prime is 331644484133. The reversal of 331644484080 is 80484446133.

331644484080 is a `hidden beast` number, since 3 + 3 + 164 + 4 + 484 + 0 + 8 + 0 = 666.

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 127 ways as a sum of consecutive naturals, for example, 20237490 + ... + 20253870.

It is an arithmetic number, because the mean of its divisors is an integer number (2218253856).

Almost surely, 2^331644484080 is an apocalyptic number.

331644484080 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 331644484080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709841233920).

331644484080 is an abundant number, since it is smaller than the sum of its proper divisors (1088037983760).

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

331644484080 is a wasteful number, since it uses less digits than its factorization.

331644484080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16526 (or 16514 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 331644484080 in words is "three hundred thirty-one billion, six hundred forty-four million, four hundred eighty-four thousand, eighty".