64052725200 has 240 divisors, whose sum is σ = 208085806656. Its totient is φ = 16840601600.

The previous prime is 64052725199. The next prime is 64052725201. The reversal of 64052725200 is 252725046.

It is an interprime number because it is at equal distance from previous prime (64052725199) and next prime (64052725201).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64052725201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29916130 + ... + 29918270.

Almost surely, 2^64052725200 is an apocalyptic number.

64052725200 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 64052725200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104042903328).

64052725200 is an abundant number, since it is smaller than the sum of its proper divisors (144033081456).

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

64052725200 is a wasteful number, since it uses less digits than its factorization.

64052725200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2502 (or 2491 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The spelling of 64052725200 in words is "sixty-four billion, fifty-two million, seven hundred twenty-five thousand, two hundred".