64361265600 has 336 divisors, whose sum is σ = 224966101248. Its totient is φ = 16053288960.

The previous prime is 64361265599. The next prime is 64361265611. The reversal of 64361265600 is 656216346.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13624839 + ... + 13629561.

It is an arithmetic number, because the mean of its divisors is an integer number (669541968).

Almost surely, 2^64361265600 is an apocalyptic number.

64361265600 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 64361265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112483050624).

64361265600 is an abundant number, since it is smaller than the sum of its proper divisors (160604835648).

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

64361265600 is a wasteful number, since it uses less digits than its factorization.

64361265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4932 (or 4917 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 39.

The spelling of 64361265600 in words is "sixty-four billion, three hundred sixty-one million, two hundred sixty-five thousand, six hundred".