4672664662764 has 48 divisors (see below), whose sum is σ = 12478682942208. Its totient is φ = 1333092349248.

The previous prime is 4672664662751. The next prime is 4672664662793.

4672664662764 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 4672664662695 and 4672664662704.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40665147 + ... + 40779890.

It is an arithmetic number, because the mean of its divisors is an integer number (259972561296).

Almost surely, 2^{4672664662764} is an apocalyptic number.

It is an amenable number.

4672664662764 is an abundant number, since it is smaller than the sum of its proper divisors (7806018279444).

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

4672664662764 is a wasteful number, since it uses less digits than its factorization.

4672664662764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81445734 (or 81445732 counting only the distinct ones).

The product of its digits is 585252864, while the sum is 66.

The spelling of 4672664662764 in words is "four trillion, six hundred seventy-two billion, six hundred sixty-four million, six hundred sixty-two thousand, seven hundred sixty-four".