6771634848 has 144 divisors (see below), whose sum is σ = 21364106400. Its totient is φ = 2017175040.

The previous prime is 6771634829. The next prime is 6771634853. The reversal of 6771634848 is 8484361776.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6771634794 and 6771634803.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168798 + ... + 205026.

It is an arithmetic number, because the mean of its divisors is an integer number (148361850).

Almost surely, 2^6771634848 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 6771634848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10682053200).

6771634848 is an abundant number, since it is smaller than the sum of its proper divisors (14592471552).

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

6771634848 is a wasteful number, since it uses less digits than its factorization.

6771634848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36315 (or 36304 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 6771634848 is about 82289.9437841587. The cubic root of 6771634848 is about 1891.8985474223.

The spelling of 6771634848 in words is "six billion, seven hundred seventy-one million, six hundred thirty-four thousand, eight hundred forty-eight".