66828795264 has 768 divisors, whose sum is σ = 251816947200. Its totient is φ = 16504750080.

The previous prime is 66828795263. The next prime is 66828795289. The reversal of 66828795264 is 46259782866.

66828795264 is a `hidden beast` number, since 6 + 6 + 8 + 287 + 95 + 264 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (69672960) is a multiple of the sum of its prime divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66828795263) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 213510372 + ... + 213510684.

It is an arithmetic number, because the mean of its divisors is an integer number (327886650).

Almost surely, 2^66828795264 is an apocalyptic number.

66828795264 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 66828795264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125908473600).

66828795264 is an abundant number, since it is smaller than the sum of its proper divisors (184988151936).

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

66828795264 is a wasteful number, since it uses less digits than its factorization.

66828795264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 448 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 66828795264 in words is "sixty-six billion, eight hundred twenty-eight million, seven hundred ninety-five thousand, two hundred sixty-four".