4266580500 has 768 divisors, whose sum is σ = 17846599680. Its totient is φ = 855360000.

The previous prime is 4266580489. The next prime is 4266580501. The reversal of 4266580500 is 50856624.

4266580500 is a `hidden beast` number, since 4 + 26 + 6 + 580 + 50 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4266580501) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28255425 + ... + 28255575.

It is an arithmetic number, because the mean of its divisors is an integer number (23237760).

Almost surely, 2^4266580500 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 4266580500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8923299840).

4266580500 is an abundant number, since it is smaller than the sum of its proper divisors (13580019180).

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

4266580500 is a wasteful number, since it uses less digits than its factorization.

4266580500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 4266580500 is about 65319.0668947437. The cubic root of 4266580500 is about 1621.9096136821.

The spelling of 4266580500 in words is "four billion, two hundred sixty-six million, five hundred eighty thousand, five hundred".