64666800 has 360 divisors, whose sum is σ = 259054848. Its totient is φ = 14784000.

The previous prime is 64666769. The next prime is 64666801. The reversal of 64666800 is 866646.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64666801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 910765 + ... + 910835.

Almost surely, 2^64666800 is an apocalyptic number.

64666800 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 64666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129527424).

64666800 is an abundant number, since it is smaller than the sum of its proper divisors (194388048).

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

64666800 is a wasteful number, since it uses less digits than its factorization.

64666800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 64666800 is about 8041.5670114723. The cubic root of 64666800 is about 401.3843699390.

The spelling of 64666800 in words is "sixty-four million, six hundred sixty-six thousand, eight hundred".