64755600 has 240 divisors, whose sum is σ = 255733632. Its totient is φ = 13639680.

The previous prime is 64755571. The next prime is 64755623. The reversal of 64755600 is 655746.

64755600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 108904 + ... + 109496.

Almost surely, 2^64755600 is an apocalyptic number.

64755600 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 64755600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127866816).

64755600 is an abundant number, since it is smaller than the sum of its proper divisors (190978032).

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

64755600 is a wasteful number, since it uses less digits than its factorization.

64755600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 64755600 is about 8047.0864292612. The cubic root of 64755600 is about 401.5680119810.

The spelling of 64755600 in words is "sixty-four million, seven hundred fifty-five thousand, six hundred".