330071474880 has 560 divisors, whose sum is σ = 1349483224320. Its totient is φ = 75016046592.

The previous prime is 330071474779. The next prime is 330071474897. The reversal of 330071474880 is 88474170033.

330071474880 is a `hidden beast` number, since 3 + 30 + 0 + 71 + 474 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 79 ways as a sum of consecutive naturals, for example, 32472679 + ... + 32482841.

It is an arithmetic number, because the mean of its divisors is an integer number (2409791472).

Almost surely, 2^330071474880 is an apocalyptic number.

330071474880 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 330071474880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674741612160).

330071474880 is an abundant number, since it is smaller than the sum of its proper divisors (1019411749440).

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

330071474880 is a wasteful number, since it uses less digits than its factorization.

330071474880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10378 (or 10359 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 330071474880 in words is "three hundred thirty billion, seventy-one million, four hundred seventy-four thousand, eight hundred eighty".