64368000 has 256 divisors, whose sum is σ = 238680000. Its totient is φ = 17049600.

The previous prime is 64367999. The next prime is 64368019. The reversal of 64368000 is 86346.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 431926 + ... + 432074.

Almost surely, 2^64368000 is an apocalyptic number.

64368000 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 64368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119340000).

64368000 is an abundant number, since it is smaller than the sum of its proper divisors (174312000).

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

64368000 is a wasteful number, since it uses less digits than its factorization.

64368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 64368000 is about 8022.9670322145. The cubic root of 64368000 is about 400.7652018984.

The spelling of 64368000 in words is "sixty-four million, three hundred sixty-eight thousand".