6811969248 has 288 divisors, whose sum is σ = 23334345216. Its totient is φ = 1842914304.

The previous prime is 6811969217. The next prime is 6811969273. The reversal of 6811969248 is 8429691186.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 6811969194 and 6811969203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4960690 + ... + 4962062.

It is an arithmetic number, because the mean of its divisors is an integer number (81022032).

Almost surely, 2^6811969248 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 6811969248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11667172608).

6811969248 is an abundant number, since it is smaller than the sum of its proper divisors (16522375968).

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

6811969248 is a wasteful number, since it uses less digits than its factorization.

6811969248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1526 (or 1515 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 6811969248 is about 82534.6548305619. The cubic root of 6811969248 is about 1895.6474001148.

The spelling of 6811969248 in words is "six billion, eight hundred eleven million, nine hundred sixty-nine thousand, two hundred forty-eight".