4667337664 has 112 divisors (see below), whose sum is σ = 10459163232. Its totient is φ = 2048000000.

The previous prime is 4667337613. The next prime is 4667337677.

4667337664 is nontrivially palindromic in base 10.

It is a congruent number.

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, 2914464 + ... + 2916064.

It is an arithmetic number, because the mean of its divisors is an integer number (93385386).

Almost surely, 2^4667337664 is an apocalyptic number.

4667337664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4667337664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5229581616).

4667337664 is an abundant number, since it is smaller than the sum of its proper divisors (5791825568).

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

4667337664 is a wasteful number, since it uses less digits than its factorization.

4667337664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1756 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 52.

The square root of 4667337664 is about 68317.9161274698. The cubic root of 4667337664 is about 1671.1794009009.

The spelling of 4667337664 in words is "four billion, six hundred sixty-seven million, three hundred thirty-seven thousand, six hundred sixty-four".