4066848864 has 192 divisors, whose sum is σ = 12879175680. Its totient is φ = 1241049600.

The previous prime is 4066848847. The next prime is 4066848893. The reversal of 4066848864 is 4688486604.

4066848864 is a `hidden beast` number, since 40 + 6 + 68 + 488 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4066848864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1425039 + ... + 1427889.

It is an arithmetic number, because the mean of its divisors is an integer number (67079040).

Almost surely, 2^4066848864 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 4066848864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6439587840).

4066848864 is an abundant number, since it is smaller than the sum of its proper divisors (8812326816).

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

4066848864 is a wasteful number, since it uses less digits than its factorization.

4066848864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3010 (or 2996 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The square root of 4066848864 is about 63771.8500907728. The cubic root of 4066848864 is about 1596.1952387080.

The spelling of 4066848864 in words is "four billion, sixty-six million, eight hundred forty-eight thousand, eight hundred sixty-four".