328418979840 has 2496 divisors, whose sum is σ = 1549019013120. Its totient is φ = 65399685120.

The previous prime is 328418979829. The next prime is 328418979851. The reversal of 328418979840 is 48979814823.

328418979840 is a `hidden beast` number, since 3 + 2 + 8 + 418 + 97 + 98 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (328418979829) and next prime (328418979851).

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10594160625 + ... + 10594160655.

Almost surely, 2^328418979840 is an apocalyptic number.

328418979840 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 328418979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774509506560).

328418979840 is an abundant number, since it is smaller than the sum of its proper divisors (1220600033280).

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

328418979840 is a wasteful number, since it uses less digits than its factorization.

328418979840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 328418979840 in words is "three hundred twenty-eight billion, four hundred eighteen million, nine hundred seventy-nine thousand, eight hundred forty".