64731913344 has 480 divisors, whose sum is σ = 228945087360. Its totient is φ = 18094648320.

The previous prime is 64731913343. The next prime is 64731913349. The reversal of 64731913344 is 44331913746.

64731913344 is a `hidden beast` number, since 6 + 473 + 1 + 9 + 133 + 44 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 64731913344.

It is not an unprimeable number, because it can be changed into a prime (64731913343) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23876149 + ... + 23878859.

It is an arithmetic number, because the mean of its divisors is an integer number (476968932).

Almost surely, 2^64731913344 is an apocalyptic number.

64731913344 is a gapful number since it is divisible by the number (64) 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 64731913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114472543680).

64731913344 is an abundant number, since it is smaller than the sum of its proper divisors (164213174016).

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

64731913344 is a wasteful number, since it uses less digits than its factorization.

64731913344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2770 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The spelling of 64731913344 in words is "sixty-four billion, seven hundred thirty-one million, nine hundred thirteen thousand, three hundred forty-four".