328002054336 has 336 divisors, whose sum is σ = 1055697477120. Its totient is φ = 96508016640.

The previous prime is 328002054301. The next prime is 328002054377. The reversal of 328002054336 is 633450200823.

It is a happy number.

328002054336 is a `hidden beast` number, since 3 + 2 + 80 + 0 + 2 + 0 + 543 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 328002054336.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47130025 + ... + 47136983.

Almost surely, 2^328002054336 is an apocalyptic number.

328002054336 is a gapful number since it is divisible by the number (36) 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 328002054336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527848738560).

328002054336 is an abundant number, since it is smaller than the sum of its proper divisors (727695422784).

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

328002054336 is a wasteful number, since it uses less digits than its factorization.

328002054336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7204 (or 7191 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 328002054336 in words is "three hundred twenty-eight billion, two million, fifty-four thousand, three hundred thirty-six".