64268795200 has 168 divisors, whose sum is σ = 160136467128. Its totient is φ = 25385041920.

The previous prime is 64268795177. The next prime is 64268795267. The reversal of 64268795200 is 259786246.

It can be written as a sum of positive squares in 12 ways, for example, as 38234327296 + 26034467904 = 195536^2 + 161352^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67437924 + ... + 67438876.

Almost surely, 2^64268795200 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 64268795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80068233564).

64268795200 is an abundant number, since it is smaller than the sum of its proper divisors (95867671928).

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

64268795200 is a wasteful number, since it uses less digits than its factorization.

64268795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1461 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 64268795200 in words is "sixty-four billion, two hundred sixty-eight million, seven hundred ninety-five thousand, two hundred".