4861566864 has 280 divisors, whose sum is σ = 17610485952. Its totient is φ = 1262511360.

The previous prime is 4861566779. The next prime is 4861566869. The reversal of 4861566864 is 4686651684.

4861566864 is a `hidden beast` number, since 486 + 156 + 6 + 8 + 6 + 4 = 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 4861566864.

It is not an unprimeable number, because it can be changed into a prime (4861566869) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 895422 + ... + 900834.

Almost surely, 2^4861566864 is an apocalyptic number.

4861566864 is a gapful number since it is divisible by the number (44) 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 4861566864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8805242976).

4861566864 is an abundant number, since it is smaller than the sum of its proper divisors (12748919088).

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

4861566864 is a wasteful number, since it uses less digits than its factorization.

4861566864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5436 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The square root of 4861566864 is about 69724.9371745863. The cubic root of 4861566864 is about 1694.0468664362.

The spelling of 4861566864 in words is "four billion, eight hundred sixty-one million, five hundred sixty-six thousand, eight hundred sixty-four".