6791005953 has 32 divisors (see below), whose sum is σ = 10304448000. Its totient is φ = 4417873488.

The previous prime is 6791005943. The next prime is 6791005957. The reversal of 6791005953 is 3595001976.

It is not a de Polignac number, because 6791005953 - 2¹⁰ = 6791004929 is a prime.

It is a super-2 number, since 2×6791005953² = 92235523707362876418, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6791005899 and 6791005908.

It is not an unprimeable number, because it can be changed into a prime (6791005957) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1654698 + ... + 1658796.

It is an arithmetic number, because the mean of its divisors is an integer number (322014000).

Almost surely, 2^6791005953 is an apocalyptic number.

It is an amenable number.

6791005953 is a deficient number, since it is larger than the sum of its proper divisors (3513442047).

6791005953 is a wasteful number, since it uses less digits than its factorization.

6791005953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578 (or 5572 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The square root of 6791005953 is about 82407.5600476073. The cubic root of 6791005953 is about 1893.7008337789.

The spelling of 6791005953 in words is "six billion, seven hundred ninety-one million, five thousand, nine hundred fifty-three".