7711949664 has 144 divisors (see below), whose sum is σ = 22811181120. Its totient is φ = 2469242880.

The previous prime is 7711949647. The next prime is 7711949669. The reversal of 7711949664 is 4669491177.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 7711949664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7711949669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837244 + ... + 846404.

It is an arithmetic number, because the mean of its divisors is an integer number (158410980).

Almost surely, 2^7711949664 is an apocalyptic number.

7711949664 is a gapful number since it is divisible by the number (74) 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 7711949664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11405590560).

7711949664 is an abundant number, since it is smaller than the sum of its proper divisors (15099231456).

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

7711949664 is a wasteful number, since it uses less digits than its factorization.

7711949664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9293 (or 9282 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 7711949664 is about 87817.7070071862. The cubic root of 7711949664 is about 1975.7017995371.

The spelling of 7711949664 in words is "seven billion, seven hundred eleven million, nine hundred forty-nine thousand, six hundred sixty-four".