64728668160 has 1344 divisors, whose sum is σ = 270698500800. Its totient is φ = 14714929152.

The previous prime is 64728668149. The next prime is 64728668161. The reversal of 64728668160 is 6186682746.

64728668160 is a `hidden beast` number, since 6 + 472 + 8 + 6 + 6 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 64728668097 and 64728668106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64728668161) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 2232023026 + ... + 2232023054.

It is an arithmetic number, because the mean of its divisors is an integer number (201412575).

Almost surely, 2^64728668160 is an apocalyptic number.

64728668160 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 64728668160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135349250400).

64728668160 is an abundant number, since it is smaller than the sum of its proper divisors (205969832640).

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

64728668160 is a wasteful number, since it uses less digits than its factorization.

64728668160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 64728668160 in words is "sixty-four billion, seven hundred twenty-eight million, six hundred sixty-eight thousand, one hundred sixty".