330870608640 has 1944 divisors, whose sum is σ = 1473921736560. Its totient is φ = 67881369600.

The previous prime is 330870608623. The next prime is 330870608693. The reversal of 330870608640 is 46806078033.

330870608640 is a `hidden beast` number, since 3 + 30 + 8 + 7 + 0 + 608 + 6 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 10673245425 + ... + 10673245455.

Almost surely, 2^330870608640 is an apocalyptic number.

330870608640 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 330870608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736960868280).

330870608640 is an abundant number, since it is smaller than the sum of its proper divisors (1143051127920).

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

330870608640 is a wasteful number, since it uses less digits than its factorization.

330870608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 330870608640 in words is "three hundred thirty billion, eight hundred seventy million, six hundred eight thousand, six hundred forty".