64464800 has 72 divisors (see below), whose sum is σ = 160075692. Its totient is φ = 25344000.

The previous prime is 64464797. The next prime is 64464847. The reversal of 64464800 is 846446.

It can be written as a sum of positive squares in 6 ways, for example, as 20322064 + 44142736 = 4508^2 + 6644^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48140 + ... + 49460.

Almost surely, 2^64464800 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 64464800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80037846).

64464800 is an abundant number, since it is smaller than the sum of its proper divisors (95610892).

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

64464800 is a wasteful number, since it uses less digits than its factorization.

64464800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402 (or 1389 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 64464800 is about 8028.9974467551. The cubic root of 64464800 is about 400.9659985723.

The spelling of 64464800 in words is "sixty-four million, four hundred sixty-four thousand, eight hundred".