4066580700 has 504 divisors, whose sum is σ = 16310463008. Its totient is φ = 856604160.

The previous prime is 4066580663. The next prime is 4066580701. The reversal of 4066580700 is 70856604.

It is a happy number.

4066580700 is a `hidden beast` number, since 4 + 0 + 6 + 6 + 580 + 70 + 0 = 666.

4066580700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4066580700² = 33074157179224980000, which contains 22 as substring.

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 (4066580701) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 6633594 + ... + 6634206.

Almost surely, 2^4066580700 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 4066580700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8155231504).

4066580700 is an abundant number, since it is smaller than the sum of its proper divisors (12243882308).

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

4066580700 is a wasteful number, since it uses less digits than its factorization.

4066580700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4066580700 is about 63769.7475296868. The cubic root of 4066580700 is about 1596.1601540907.

The spelling of 4066580700 in words is "four billion, sixty-six million, five hundred eighty thousand, seven hundred".