328899574080 has 672 divisors, whose sum is σ = 1455951863808. Its totient is φ = 66136780800.

The previous prime is 328899574061. The next prime is 328899574097. The reversal of 328899574080 is 80475998823.

328899574080 is a `hidden beast` number, since 328 + 89 + 95 + 74 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 328899573999 and 328899574017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6850639 + ... + 6898481.

Almost surely, 2^328899574080 is an apocalyptic number.

328899574080 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 328899574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (727975931904).

328899574080 is an abundant number, since it is smaller than the sum of its proper divisors (1127052289728).

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

328899574080 is a wasteful number, since it uses less digits than its factorization.

328899574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47915 (or 47902 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 328899574080 in words is "three hundred twenty-eight billion, eight hundred ninety-nine million, five hundred seventy-four thousand, eighty".