64329914880 has 1920 divisors, whose sum is σ = 308860231680. Its totient is φ = 12421693440.

The previous prime is 64329914879. The next prime is 64329914923. The reversal of 64329914880 is 8841992346.

64329914880 is a `hidden beast` number, since 6 + 432 + 9 + 91 + 48 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 814302681 + ... + 814302759.

It is an arithmetic number, because the mean of its divisors is an integer number (160864704).

Almost surely, 2^64329914880 is an apocalyptic number.

64329914880 is a gapful number since it is divisible by the number (60) 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 64329914880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154430115840).

64329914880 is an abundant number, since it is smaller than the sum of its proper divisors (244530316800).

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

64329914880 is a wasteful number, since it uses less digits than its factorization.

64329914880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 64329914880 in words is "sixty-four billion, three hundred twenty-nine million, nine hundred fourteen thousand, eight hundred eighty".