64678400 has 120 divisors (see below), whose sum is σ = 166429824. Its totient is φ = 24883200.

The previous prime is 64678357. The next prime is 64678403. The reversal of 64678400 is 487646.

It is not an unprimeable number, because it can be changed into a prime (64678403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396719 + ... + 396881.

Almost surely, 2^64678400 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 64678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83214912).

64678400 is an abundant number, since it is smaller than the sum of its proper divisors (101751424).

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

64678400 is a wasteful number, since it uses less digits than its factorization.

64678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 64678400 is about 8042.2882315918. The cubic root of 64678400 is about 401.4083687571.

The spelling of 64678400 in words is "sixty-four million, six hundred seventy-eight thousand, four hundred".