4467661577 has 16 divisors (see below), whose sum is σ = 4728211200. Its totient is φ = 4209725520.

The previous prime is 4467661567. The next prime is 4467661609. The reversal of 4467661577 is 7751667644.

It is a happy number.

4467661577 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4467661577 - 2¹⁶ = 4467596041 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4467661547) 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 15 ways as a sum of consecutive naturals, for example, 5200574 + ... + 5201432.

It is an arithmetic number, because the mean of its divisors is an integer number (295513200).

Almost surely, 2^4467661577 is an apocalyptic number.

It is an amenable number.

4467661577 is a deficient number, since it is larger than the sum of its proper divisors (260549623).

4467661577 is a wasteful number, since it uses less digits than its factorization.

4467661577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2036.

The product of its digits is 5927040, while the sum is 53.

The square root of 4467661577 is about 66840.5683473742. The cubic root of 4467661577 is about 1646.9993307793. Note that the first 3 decimals are identical.

The spelling of 4467661577 in words is "four billion, four hundred sixty-seven million, six hundred sixty-one thousand, five hundred seventy-seven".