64129228800 has 1344 divisors, whose sum is σ = 276672958464. Its totient is φ = 12740198400.

The previous prime is 64129228799. The next prime is 64129228859. The reversal of 64129228800 is 882292146.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×64129228800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

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, 1733222382 + ... + 1733222418.

It is an arithmetic number, because the mean of its divisors is an integer number (205857856).

Almost surely, 2^64129228800 is an apocalyptic number.

64129228800 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 64129228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138336479232).

64129228800 is an abundant number, since it is smaller than the sum of its proper divisors (212543729664).

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

64129228800 is a wasteful number, since it uses less digits than its factorization.

64129228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The spelling of 64129228800 in words is "sixty-four billion, one hundred twenty-nine million, two hundred twenty-eight thousand, eight hundred".