7740164664 has 96 divisors (see below), whose sum is σ = 21696423840. Its totient is φ = 2491084800.

The previous prime is 7740164657. The next prime is 7740164681. The reversal of 7740164664 is 4664610477.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 272829 + ... + 299859.

It is an arithmetic number, because the mean of its divisors is an integer number (226004415).

Almost surely, 2^7740164664 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 7740164664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10848211920).

7740164664 is an abundant number, since it is smaller than the sum of its proper divisors (13956259176).

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

7740164664 is a wasteful number, since it uses less digits than its factorization.

7740164664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27181 (or 27174 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 7740164664 is about 87978.2056193464. The cubic root of 7740164664 is about 1978.1083065039.

The spelling of 7740164664 in words is "seven billion, seven hundred forty million, one hundred sixty-four thousand, six hundred sixty-four".