4461972669 has 128 divisors (see below), whose sum is σ = 8472821760. Its totient is φ = 2253873600.

The previous prime is 4461972667. The next prime is 4461972679. The reversal of 4461972669 is 9662791644.

It is a happy number.

4461972669 is a `hidden beast` number, since 446 + 197 + 2 + 6 + 6 + 9 = 666.

It is not a de Polignac number, because 4461972669 - 2¹ = 4461972667 is a prime.

It is a super-2 number, since 2×4461972669² = 39818400197805967122, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4461972667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14347024 + ... + 14347334.

It is an arithmetic number, because the mean of its divisors is an integer number (66193920).

Almost surely, 2^4461972669 is an apocalyptic number.

It is an amenable number.

4461972669 is a deficient number, since it is larger than the sum of its proper divisors (4010849091).

4461972669 is a wasteful number, since it uses less digits than its factorization.

4461972669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 4461972669 is about 66797.9989894907. The cubic root of 4461972669 is about 1646.2999636145.

The spelling of 4461972669 in words is "four billion, four hundred sixty-one million, nine hundred seventy-two thousand, six hundred sixty-nine".