64710400 has 54 divisors (see below), whose sum is σ = 160184192. Its totient is φ = 25881600.

The previous prime is 64710389. The next prime is 64710407. The reversal of 64710400 is 401746.

64710400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64710407) 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 5 ways as a sum of consecutive naturals, for example, 1345 + ... + 11455.

Almost surely, 2^64710400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80092096).

64710400 is an abundant number, since it is smaller than the sum of its proper divisors (95473792).

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

64710400 is a wasteful number, since it uses less digits than its factorization.

64710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10137 (or 10118 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 64710400 is about 8044.2774691081. The cubic root of 64710400 is about 401.4745575208.

The spelling of 64710400 in words is "sixty-four million, seven hundred ten thousand, four hundred".