328387761576 has 320 divisors, whose sum is σ = 1079678160000. Its totient is φ = 91314086400.

The previous prime is 328387761563. The next prime is 328387761613. The reversal of 328387761576 is 675167783823.

328387761576 is a `hidden beast` number, since 3 + 2 + 8 + 3 + 8 + 7 + 7 + 615 + 7 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27023950 + ... + 27036098.

It is an arithmetic number, because the mean of its divisors is an integer number (3373994250).

Almost surely, 2^328387761576 is an apocalyptic number.

328387761576 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 328387761576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539839080000).

328387761576 is an abundant number, since it is smaller than the sum of its proper divisors (751290398424).

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

328387761576 is a wasteful number, since it uses less digits than its factorization.

328387761576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12334 (or 12321 counting only the distinct ones).

The product of its digits is 71124480, while the sum is 63.

The spelling of 328387761576 in words is "three hundred twenty-eight billion, three hundred eighty-seven million, seven hundred sixty-one thousand, five hundred seventy-six".