328602732344640 has 896 divisors, whose sum is σ = 1254663186416640. Its totient is φ = 80482487500800.

The previous prime is 328602732344611. The next prime is 328602732344651. The reversal of 328602732344640 is 46443237206823.

328602732344640 is a `hidden beast` number, since 3 + 2 + 8 + 60 + 273 + 234 + 46 + 40 = 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 127 ways as a sum of consecutive naturals, for example, 22945508680 + ... + 22945523000.

It is an arithmetic number, because the mean of its divisors is an integer number (1400293734840).

Almost surely, 2^{328602732344640} is an apocalyptic number.

328602732344640 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 328602732344640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627331593208320).

328602732344640 is an abundant number, since it is smaller than the sum of its proper divisors (926060454072000).

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

328602732344640 is a wasteful number, since it uses less digits than its factorization.

328602732344640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15368 (or 15352 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 54.

The spelling of 328602732344640 in words is "three hundred twenty-eight trillion, six hundred two billion, seven hundred thirty-two million, three hundred forty-four thousand, six hundred forty".