6791211648 has 384 divisors, whose sum is σ = 22945104000. Its totient is φ = 1909039104.

The previous prime is 6791211631. The next prime is 6791211659. The reversal of 6791211648 is 8461121976.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6791211648² = 92241111295861751808, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8251365 + ... + 8252187.

It is an arithmetic number, because the mean of its divisors is an integer number (59752875).

Almost surely, 2^6791211648 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 6791211648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11472552000).

6791211648 is an abundant number, since it is smaller than the sum of its proper divisors (16153892352).

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

6791211648 is a wasteful number, since it uses less digits than its factorization.

6791211648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 889 counting only the distinct ones).

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

The square root of 6791211648 is about 82408.8080729239. The cubic root of 6791211648 is about 1893.7199532272.

The spelling of 6791211648 in words is "six billion, seven hundred ninety-one million, two hundred eleven thousand, six hundred forty-eight".