328635740160 has 1560 divisors, whose sum is σ = 1480577114016. Its totient is φ = 69115576320.

The previous prime is 328635740113. The next prime is 328635740161. The reversal of 328635740160 is 61047536823.

328635740160 is a `hidden beast` number, since 3 + 2 + 8 + 63 + 574 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1560).

It is a super-2 number, since 2×328635740160² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (328635740161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1056706405 + ... + 1056706715.

Almost surely, 2^328635740160 is an apocalyptic number.

328635740160 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 328635740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740288557008).

328635740160 is an abundant number, since it is smaller than the sum of its proper divisors (1151941373856).

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

328635740160 is a wasteful number, since it uses less digits than its factorization.

328635740160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 328635740160 in words is "three hundred twenty-eight billion, six hundred thirty-five million, seven hundred forty thousand, one hundred sixty".