4671661764 has 72 divisors (see below), whose sum is σ = 13832991648. Its totient is φ = 1213416960.

The previous prime is 4671661739. The next prime is 4671661783.

4671661764 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 354669 + ... + 367604.

It is an arithmetic number, because the mean of its divisors is an integer number (192124884).

Almost surely, 2^4671661764 is an apocalyptic number.

4671661764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4671661764 is an abundant number, since it is smaller than the sum of its proper divisors (9161329884).

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

4671661764 is a wasteful number, since it uses less digits than its factorization.

4671661764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722305 (or 722296 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 48.

The square root of 4671661764 is about 68349.5556971660. Note that the first 3 decimals coincide. The cubic root of 4671661764 is about 1671.6953350283.

It can be divided in two parts, 4671 and 661764, that added together give a triangular number (666435 = T₁₁₅₄).

The spelling of 4671661764 in words is "four billion, six hundred seventy-one million, six hundred sixty-one thousand, seven hundred sixty-four".