7662416664 has 128 divisors (see below), whose sum is σ = 23474534400. Its totient is φ = 2034339840.

The previous prime is 7662416623. The next prime is 7662416669. The reversal of 7662416664 is 4666142667.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7662416669) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208644 + ... + 242604.

It is an arithmetic number, because the mean of its divisors is an integer number (183394800).

Almost surely, 2^7662416664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7662416664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11737267200).

7662416664 is an abundant number, since it is smaller than the sum of its proper divisors (15812117736).

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

7662416664 is a wasteful number, since it uses less digits than its factorization.

7662416664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34073 (or 34069 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 48.

The square root of 7662416664 is about 87535.2309873002. The cubic root of 7662416664 is about 1971.4628062768.

The spelling of 7662416664 in words is "seven billion, six hundred sixty-two million, four hundred sixteen thousand, six hundred sixty-four".