330480008640 has 448 divisors, whose sum is σ = 1208026275840. Its totient is φ = 84962304000.

The previous prime is 330480008627. The next prime is 330480008657. The reversal of 330480008640 is 46800084033.

330480008640 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 8 + 0 + 0 + 0 + 8 + 640 = 666.

It is a super-2 number, since 2×330480008640² (a number of 24 digits) contains 22 as substring.

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 = 330480008595 and 330480008604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75260845 + ... + 75265235.

Almost surely, 2^330480008640 is an apocalyptic number.

330480008640 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 330480008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604013137920).

330480008640 is an abundant number, since it is smaller than the sum of its proper divisors (877546267200).

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

330480008640 is a wasteful number, since it uses less digits than its factorization.

330480008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4729 (or 4713 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 330480008640 in words is "three hundred thirty billion, four hundred eighty million, eight thousand, six hundred forty".