328568002560 has 1152 divisors, whose sum is σ = 1380322944000. Its totient is φ = 73909075968.

The previous prime is 328568002541. The next prime is 328568002579. The reversal of 328568002560 is 65200865823.

328568002560 is a `hidden beast` number, since 3 + 2 + 8 + 5 + 6 + 80 + 0 + 2 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (328568002541) and next prime (328568002579).

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 1070253927 + ... + 1070254233.

It is an arithmetic number, because the mean of its divisors is an integer number (1198197000).

Almost surely, 2^328568002560 is an apocalyptic number.

328568002560 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 328568002560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690161472000).

328568002560 is an abundant number, since it is smaller than the sum of its proper divisors (1051754941440).

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

328568002560 is a wasteful number, since it uses less digits than its factorization.

328568002560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 328568002560 in words is "three hundred twenty-eight billion, five hundred sixty-eight million, two thousand, five hundred sixty".