64372800 has 84 divisors (see below), whose sum is σ = 211212176. Its totient is φ = 17164800.

The previous prime is 64372799. The next prime is 64372813. The reversal of 64372800 is 827346.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1906 + ... + 11505.

Almost surely, 2^64372800 is an apocalyptic number.

64372800 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 64372800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105606088).

64372800 is an abundant number, since it is smaller than the sum of its proper divisors (146839376).

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

64372800 is a wasteful number, since it uses less digits than its factorization.

64372800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13436 (or 13421 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 64372800 is about 8023.2661678396. The cubic root of 64372800 is about 400.7751635002.

The spelling of 64372800 in words is "sixty-four million, three hundred seventy-two thousand, eight hundred".