64763200 has 84 divisors (see below), whose sum is σ = 168802812. Its totient is φ = 24371200.

The previous prime is 64763189. The next prime is 64763201. The reversal of 64763200 is 236746.

It can be written as a sum of positive squares in 6 ways, for example, as 8573184 + 56190016 = 2928^2 + 7496^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64763201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26010 + ... + 28390.

Almost surely, 2^64763200 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 64763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84401406).

64763200 is an abundant number, since it is smaller than the sum of its proper divisors (104039612).

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

64763200 is a wasteful number, since it uses less digits than its factorization.

64763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 64763200 is about 8047.5586360088. The cubic root of 64763200 is about 401.5837212917.

Adding to 64763200 its reverse (236746), we get a palindrome (64999946).

The spelling of 64763200 in words is "sixty-four million, seven hundred sixty-three thousand, two hundred".