4867564104 has 192 divisors, whose sum is σ = 14876447040. Its totient is φ = 1482105600.

The previous prime is 4867564057. The next prime is 4867564123. The reversal of 4867564104 is 4014657684.

4867564104 is a `hidden beast` number, since 4 + 86 + 7 + 564 + 1 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4867564104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2551519 + ... + 2553425.

It is an arithmetic number, because the mean of its divisors is an integer number (77481495).

Almost surely, 2^4867564104 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 4867564104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7438223520).

4867564104 is an abundant number, since it is smaller than the sum of its proper divisors (10008882936).

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

4867564104 is a wasteful number, since it uses less digits than its factorization.

4867564104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2042 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 4867564104 is about 69767.9303405225. The cubic root of 4867564104 is about 1694.7431735553.

The spelling of 4867564104 in words is "four billion, eight hundred sixty-seven million, five hundred sixty-four thousand, one hundred four".