333004668480 has 448 divisors, whose sum is σ = 1322915880960. Its totient is φ = 78123571200.

The previous prime is 333004668433. The next prime is 333004668499. The reversal of 333004668480 is 84866400333.

333004668480 is a `hidden beast` number, since 3 + 3 + 30 + 0 + 466 + 84 + 80 = 666.

It is a super-2 number, since 2×333004668480² (a number of 24 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2889727 + ... + 3002753.

Almost surely, 2^333004668480 is an apocalyptic number.

333004668480 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 333004668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661457940480).

333004668480 is an abundant number, since it is smaller than the sum of its proper divisors (989911212480).

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

333004668480 is a wasteful number, since it uses less digits than its factorization.

333004668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113095 (or 113079 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 333004668480 in words is "three hundred thirty-three billion, four million, six hundred sixty-eight thousand, four hundred eighty".