64468800 has 378 divisors, whose sum is σ = 258668774. Its totient is φ = 15206400.

The previous prime is 64468771. The next prime is 64468801. The reversal of 64468800 is 886446.

64468800 is a `hidden beast` number, since 644 + 6 + 8 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 13660416 + 50808384 = 3696^2 + 7128^2 .

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 (64468801) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 1742382 + ... + 1742418.

Almost surely, 2^64468800 is an apocalyptic number.

64468800 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 64468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129334387).

64468800 is an abundant number, since it is smaller than the sum of its proper divisors (194199974).

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

64468800 is a wasteful number, since it uses less digits than its factorization.

64468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 64468800 is about 8029.2465399936. The cubic root of 64468800 is about 400.9742916295.

It can be divided in two parts, 64 and 468800, that added together give a palindrome (468864).

The spelling of 64468800 in words is "sixty-four million, four hundred sixty-eight thousand, eight hundred".