64195132800 has 384 divisors, whose sum is σ = 225751622400. Its totient is φ = 15986073600.

The previous prime is 64195132789. The next prime is 64195132817. The reversal of 64195132800 is 823159146.

It is a tau number, because it is divible by the number of its divisors (384).

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, 12947922 + ... + 12952878.

It is an arithmetic number, because the mean of its divisors is an integer number (587894850).

Almost surely, 2^64195132800 is an apocalyptic number.

64195132800 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 64195132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112875811200).

64195132800 is an abundant number, since it is smaller than the sum of its proper divisors (161556489600).

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

64195132800 is a wasteful number, since it uses less digits than its factorization.

64195132800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5074 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 64195132800 in words is "sixty-four billion, one hundred ninety-five million, one hundred thirty-two thousand, eight hundred".