328362670080 has 288 divisors, whose sum is σ = 1139578221600. Its totient is φ = 87445536768.

The previous prime is 328362670061. The next prime is 328362670109. The reversal of 328362670080 is 80076263823.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84693102 + ... + 84696978.

It is an arithmetic number, because the mean of its divisors is an integer number (3956868825).

Almost surely, 2^328362670080 is an apocalyptic number.

328362670080 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 328362670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569789110800).

328362670080 is an abundant number, since it is smaller than the sum of its proper divisors (811215551520).

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

328362670080 is a wasteful number, since it uses less digits than its factorization.

328362670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4806 counting only the distinct ones).

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

The spelling of 328362670080 in words is "three hundred twenty-eight billion, three hundred sixty-two million, six hundred seventy thousand, eighty".