328476772800 has 1680 divisors, whose sum is σ = 1414954020480. Its totient is φ = 73903104000.

The previous prime is 328476772753. The next prime is 328476772817. The reversal of 328476772800 is 8277674823.

328476772800 is a `hidden beast` number, since 3 + 28 + 476 + 7 + 72 + 80 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1814788710 + ... + 1814788890.

It is an arithmetic number, because the mean of its divisors is an integer number (842234536).

Almost surely, 2^328476772800 is an apocalyptic number.

328476772800 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 328476772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707477010240).

328476772800 is an abundant number, since it is smaller than the sum of its proper divisors (1086477247680).

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

328476772800 is a wasteful number, since it uses less digits than its factorization.

328476772800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 328476772800 in words is "three hundred twenty-eight billion, four hundred seventy-six million, seven hundred seventy-two thousand, eight hundred".