4066642600 has 24 divisors (see below), whose sum is σ = 9454944510. Its totient is φ = 1626656960.

The previous prime is 4066642597. The next prime is 4066642603. The reversal of 4066642600 is 62466604.

It is an interprime number because it is at equal distance from previous prime (4066642597) and next prime (4066642603).

It can be written as a sum of positive squares in 3 ways, for example, as 3945598596 + 121044004 = 62814^2 + 11002^2 .

It is a super-2 number, since 2×4066642600² = 33075164072269520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4066642603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10166407 + ... + 10166806.

Almost surely, 2^4066642600 is an apocalyptic number.

4066642600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4066642600 is an abundant number, since it is smaller than the sum of its proper divisors (5388301910).

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

4066642600 is a wasteful number, since it uses less digits than its factorization.

4066642600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20333229 (or 20333220 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 34.

The square root of 4066642600 is about 63770.2328676946. The cubic root of 4066642600 is about 1596.1682527711.

The spelling of 4066642600 in words is "four billion, sixty-six million, six hundred forty-two thousand, six hundred".