64725600 has 144 divisors (see below), whose sum is σ = 213267600. Its totient is φ = 17049600.

The previous prime is 64725589. The next prime is 64725601. The reversal of 64725600 is 652746.

64725600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64725601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357510 + ... + 357690.

It is an arithmetic number, because the mean of its divisors is an integer number (1481025).

Almost surely, 2^64725600 is an apocalyptic number.

64725600 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 64725600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106633800).

64725600 is an abundant number, since it is smaller than the sum of its proper divisors (148542000).

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

64725600 is a wasteful number, since it uses less digits than its factorization.

64725600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 64725600 is about 8045.2221846261. Note that the first 3 decimals coincide. The cubic root of 64725600 is about 401.5059895396.

The spelling of 64725600 in words is "sixty-four million, seven hundred twenty-five thousand, six hundred".