6971266728 has 128 divisors (see below), whose sum is σ = 19936051200. Its totient is φ = 2255988672.

The previous prime is 6971266727. The next prime is 6971266751. The reversal of 6971266728 is 8276621796.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6971266723) 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, 1286601 + ... + 1292007.

It is an arithmetic number, because the mean of its divisors is an integer number (155750400).

Almost surely, 2^6971266728 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 6971266728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9968025600).

6971266728 is an abundant number, since it is smaller than the sum of its proper divisors (12964784472).

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

6971266728 is a wasteful number, since it uses less digits than its factorization.

6971266728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5596 (or 5586 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 6971266728 is about 83494.1119361120. Note that the first 3 decimals coincide. The cubic root of 6971266728 is about 1910.3102232691.

The spelling of 6971266728 in words is "six billion, nine hundred seventy-one million, two hundred sixty-six thousand, seven hundred twenty-eight".