328093476480 has 2048 divisors, whose sum is σ = 1543156531200. Its totient is φ = 63866880000.

The previous prime is 328093476467. The next prime is 328093476541. The reversal of 328093476480 is 84674390823.

328093476480 is a `hidden beast` number, since 3 + 2 + 8 + 0 + 93 + 4 + 76 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2172804405 + ... + 2172804555.

It is an arithmetic number, because the mean of its divisors is an integer number (753494400).

Almost surely, 2^328093476480 is an apocalyptic number.

328093476480 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 328093476480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771578265600).

328093476480 is an abundant number, since it is smaller than the sum of its proper divisors (1215063054720).

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

328093476480 is a wasteful number, since it uses less digits than its factorization.

328093476480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 328093476480 in words is "three hundred twenty-eight billion, ninety-three million, four hundred seventy-six thousand, four hundred eighty".