328721279040 has 672 divisors, whose sum is σ = 1412998179840. Its totient is φ = 68144025600.

The previous prime is 328721278997. The next prime is 328721279053. The reversal of 328721279040 is 40972127823.

328721279040 is a `hidden beast` number, since 328 + 7 + 212 + 79 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108882651 + ... + 108885669.

Almost surely, 2^328721279040 is an apocalyptic number.

328721279040 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 328721279040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706499089920).

328721279040 is an abundant number, since it is smaller than the sum of its proper divisors (1084276900800).

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

328721279040 is a wasteful number, since it uses less digits than its factorization.

328721279040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551 (or 3538 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 328721279040 in words is "three hundred twenty-eight billion, seven hundred twenty-one million, two hundred seventy-nine thousand, forty".