6911761248 has 216 divisors, whose sum is σ = 22929942672. Its totient is φ = 1969132032.

The previous prime is 6911761237. The next prime is 6911761261. The reversal of 6911761248 is 8421671196.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9130086 + ... + 9130842.

It is an arithmetic number, because the mean of its divisors is an integer number (106157142).

Almost surely, 2^6911761248 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 6911761248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11464971336).

6911761248 is an abundant number, since it is smaller than the sum of its proper divisors (16018181424).

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

6911761248 is a wasteful number, since it uses less digits than its factorization.

6911761248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1416 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 6911761248 is about 83137.0028807871. The cubic root of 6911761248 is about 1904.8593295181.

The spelling of 6911761248 in words is "six billion, nine hundred eleven million, seven hundred sixty-one thousand, two hundred forty-eight".