4666762676664 has 144 divisors (see below), whose sum is σ = 14088290776560. Its totient is φ = 1394252428800.

The previous prime is 4666762676507. The next prime is 4666762676689.

4666762676664 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4666762676592 and 4666762676601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3153777 + ... + 4390880.

It is an arithmetic number, because the mean of its divisors is an integer number (97835352615).

Almost surely, 2^{4666762676664} is an apocalyptic number.

4666762676664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4666762676664 is an abundant number, since it is smaller than the sum of its proper divisors (9421528099896).

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

4666762676664 is a wasteful number, since it uses less digits than its factorization.

4666762676664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7544762 (or 7544744 counting only the distinct ones).

The product of its digits is 2633637888, while the sum is 72.

The spelling of 4666762676664 in words is "four trillion, six hundred sixty-six billion, seven hundred sixty-two million, six hundred seventy-six thousand, six hundred sixty-four".