64706400 has 432 divisors, whose sum is σ = 268107840. Its totient is φ = 14515200.

The previous prime is 64706387. The next prime is 64706401. The reversal of 64706400 is 460746.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64706401) 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, 1504779 + ... + 1504821.

It is an arithmetic number, because the mean of its divisors is an integer number (620620).

Almost surely, 2^64706400 is an apocalyptic number.

64706400 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 64706400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134053920).

64706400 is an abundant number, since it is smaller than the sum of its proper divisors (203401440).

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

64706400 is a wasteful number, since it uses less digits than its factorization.

64706400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 64706400 is about 8044.0288413207. The cubic root of 64706400 is about 401.4662851188.

The spelling of 64706400 in words is "sixty-four million, seven hundred six thousand, four hundred".