64140668800 has 384 divisors, whose sum is σ = 179019792000. Its totient is φ = 22543073280.

The previous prime is 64140668783. The next prime is 64140668831. The reversal of 64140668800 is 886604146.

It is a super-2 number, since 2×64140668800² (a number of 22 digits) contains 22 as substring.

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, 95305264 + ... + 95305936.

It is an arithmetic number, because the mean of its divisors is an integer number (466197375).

Almost surely, 2^64140668800 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 64140668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89509896000).

64140668800 is an abundant number, since it is smaller than the sum of its proper divisors (114879123200).

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

64140668800 is a wasteful number, since it uses less digits than its factorization.

64140668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The spelling of 64140668800 in words is "sixty-four billion, one hundred forty million, six hundred sixty-eight thousand, eight hundred".