328641017387760 has 2240 divisors, whose sum is σ = 1509011639930880. Its totient is φ = 64530189803520.

The previous prime is 328641017387707. The next prime is 328641017387819. The reversal of 328641017387760 is 67783710146823.

328641017387760 is a `hidden beast` number, since 3 + 2 + 8 + 6 + 410 + 1 + 73 + 87 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 6120715474 + ... + 6120769166.

Almost surely, 2^{328641017387760} is an apocalyptic number.

328641017387760 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 328641017387760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754505819965440).

328641017387760 is an abundant number, since it is smaller than the sum of its proper divisors (1180370622543120).

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

328641017387760 is a wasteful number, since it uses less digits than its factorization.

328641017387760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53818 (or 53797 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 328641017387760 in words is "three hundred twenty-eight trillion, six hundred forty-one billion, seventeen million, three hundred eighty-seven thousand, seven hundred sixty".