64053225600 has 1536 divisors, whose sum is σ = 290681395200. Its totient is φ = 11997020160.

The previous prime is 64053225563. The next prime is 64053225601. The reversal of 64053225600 is 652235046.

64053225600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (64053225601) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 282172687 + ... + 282172913.

It is an arithmetic number, because the mean of its divisors is an integer number (189245700).

Almost surely, 2^64053225600 is an apocalyptic number.

64053225600 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 64053225600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145340697600).

64053225600 is an abundant number, since it is smaller than the sum of its proper divisors (226628169600).

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

64053225600 is a wasteful number, since it uses less digits than its factorization.

64053225600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 64053225600 in words is "sixty-four billion, fifty-three million, two hundred twenty-five thousand, six hundred".