64472800 has 144 divisors (see below), whose sum is σ = 186550560. Its totient is φ = 21288960.

The previous prime is 64472783. The next prime is 64472803. The reversal of 64472800 is 827446.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64472803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162202 + ... + 162598.

It is an arithmetic number, because the mean of its divisors is an integer number (1295490).

Almost surely, 2^64472800 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 64472800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93275280).

64472800 is an abundant number, since it is smaller than the sum of its proper divisors (122077760).

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

64472800 is a wasteful number, since it uses less digits than its factorization.

64472800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 64472800 is about 8029.4956255048. The cubic root of 64472800 is about 400.9825843436.

The spelling of 64472800 in words is "sixty-four million, four hundred seventy-two thousand, eight hundred".