328653615360 has 864 divisors, whose sum is σ = 1258890377472. Its totient is φ = 72831467520.

The previous prime is 328653615247. The next prime is 328653615373. The reversal of 328653615360 is 63516356823.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 975233112 + ... + 975233448.

It is an arithmetic number, because the mean of its divisors is an integer number (1457049048).

Almost surely, 2^328653615360 is an apocalyptic number.

328653615360 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 328653615360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629445188736).

328653615360 is an abundant number, since it is smaller than the sum of its proper divisors (930236762112).

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

328653615360 is a wasteful number, since it uses less digits than its factorization.

328653615360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 48.

The spelling of 328653615360 in words is "three hundred twenty-eight billion, six hundred fifty-three million, six hundred fifteen thousand, three hundred sixty".