328332751916400 has 7200 divisors, whose sum is σ = 1658135952506880. Its totient is φ = 60327493632000.

The previous prime is 328332751916339. The next prime is 328332751916471. The reversal of 328332751916400 is 4619157233823.

328332751916400 is a `hidden beast` number, since 3 + 2 + 83 + 3 + 2 + 7 + 519 + 1 + 6 + 40 + 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 1439 ways as a sum of consecutive naturals, for example, 857265670609 + ... + 857265670991.

It is a 1-persistent number, because it is pandigital, but 2⋅328332751916400 = 656665503832800 is not.

Almost surely, 2^{328332751916400} is an apocalyptic number.

328332751916400 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 328332751916400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829067976253440).

328332751916400 is an abundant number, since it is smaller than the sum of its proper divisors (1329803200590480).

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

328332751916400 is a wasteful number, since it uses less digits than its factorization.

328332751916400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 328332751916400 in words is "three hundred twenty-eight trillion, three hundred thirty-two billion, seven hundred fifty-one million, nine hundred sixteen thousand, four hundred".