4461638007 has 16 divisors (see below), whose sum is σ = 6431192960. Its totient is φ = 2741716512.

The previous prime is 4461637991. The next prime is 4461638009. The reversal of 4461638007 is 7008361644.

It is not a de Polignac number, because 4461638007 - 2⁴ = 4461637991 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461638009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1055653 + ... + 1059870.

It is an arithmetic number, because the mean of its divisors is an integer number (401949560).

Almost surely, 2^4461638007 is an apocalyptic number.

4461638007 is a deficient number, since it is larger than the sum of its proper divisors (1969554953).

4461638007 is a wasteful number, since it uses less digits than its factorization.

4461638007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115582.

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4461638007 is about 66795.4939123890. The cubic root of 4461638007 is about 1646.2588033584.

The spelling of 4461638007 in words is "four billion, four hundred sixty-one million, six hundred thirty-eight thousand, seven".