64329116544 has 640 divisors, whose sum is σ = 251302867200. Its totient is φ = 15825715200.

The previous prime is 64329116479. The next prime is 64329116549. The reversal of 64329116544 is 44561192346.

64329116544 is a `hidden beast` number, since 6 + 4 + 3 + 2 + 91 + 16 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 64329116544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64329116549) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 15166264 + ... + 15170504.

It is an arithmetic number, because the mean of its divisors is an integer number (392660730).

Almost surely, 2^64329116544 is an apocalyptic number.

64329116544 is a gapful number since it is divisible by the number (64) 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 64329116544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125651433600).

64329116544 is an abundant number, since it is smaller than the sum of its proper divisors (186973750656).

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

64329116544 is a wasteful number, since it uses less digits than its factorization.

64329116544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4304 (or 4283 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 64329116544 in words is "sixty-four billion, three hundred twenty-nine million, one hundred sixteen thousand, five hundred forty-four".