328736693376000 has 3520 divisors, whose sum is σ = 1573510729190400. Its totient is φ = 66339805593600.

The previous prime is 328736693375989. The next prime is 328736693376001. The reversal of 328736693376000 is 673396637823.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328736693376001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 21700216426 + ... + 21700231574.

It is an arithmetic number, because the mean of its divisors is an integer number (447020093520).

Almost surely, 2^{328736693376000} is an apocalyptic number.

328736693376000 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 328736693376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786755364595200).

328736693376000 is an abundant number, since it is smaller than the sum of its proper divisors (1244774035814400).

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

328736693376000 is a wasteful number, since it uses less digits than its factorization.

328736693376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15239 (or 15202 counting only the distinct ones).

The product of its (nonzero) digits is 123451776, while the sum is 63.

The spelling of 328736693376000 in words is "three hundred twenty-eight trillion, seven hundred thirty-six billion, six hundred ninety-three million, three hundred seventy-six thousand".