328746677616 has 360 divisors, whose sum is σ = 1101415790592. Its totient is φ = 89574508800.

The previous prime is 328746677591. The next prime is 328746677621. The reversal of 328746677616 is 616776647823.

328746677616 is a `hidden beast` number, since 3 + 2 + 8 + 7 + 4 + 6 + 6 + 7 + 7 + 616 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 157520125 + ... + 157522211.

Almost surely, 2^328746677616 is an apocalyptic number.

328746677616 is a gapful number since it is divisible by the number (36) 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 328746677616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550707895296).

328746677616 is an abundant number, since it is smaller than the sum of its proper divisors (772669112976).

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

328746677616 is a wasteful number, since it uses less digits than its factorization.

328746677616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2201 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 328746677616 in words is "three hundred twenty-eight billion, seven hundred forty-six million, six hundred seventy-seven thousand, six hundred sixteen".