6971069664 has 144 divisors (see below), whose sum is σ = 21557364192. Its totient is φ = 2124002304.

The previous prime is 6971069663. The next prime is 6971069671. The reversal of 6971069664 is 4669601796.

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 6971069664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6971069663) 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, 376594 + ... + 394670.

It is an arithmetic number, because the mean of its divisors is an integer number (149703918).

Almost surely, 2^6971069664 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 6971069664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10778682096).

6971069664 is an abundant number, since it is smaller than the sum of its proper divisors (14586294528).

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

6971069664 is a wasteful number, since it uses less digits than its factorization.

6971069664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18209 (or 18198 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The square root of 6971069664 is about 83492.9318206038. The cubic root of 6971069664 is about 1910.2922228618.

The spelling of 6971069664 in words is "six billion, nine hundred seventy-one million, sixty-nine thousand, six hundred sixty-four".