6791242920 has 256 divisors, whose sum is σ = 25642137600. Its totient is φ = 1397775360.

The previous prime is 6791242907. The next prime is 6791242981. The reversal of 6791242920 is 292421976.

It is a super-2 number, since 2×6791242920² = 92241960796900252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 63 ways as a sum of consecutive naturals, for example, 985246 + ... + 992114.

It is an arithmetic number, because the mean of its divisors is an integer number (100164600).

Almost surely, 2^6791242920 is an apocalyptic number.

6791242920 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6791242920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12821068800).

6791242920 is an abundant number, since it is smaller than the sum of its proper divisors (18850894680).

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

6791242920 is a wasteful number, since it uses less digits than its factorization.

6791242920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7008 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 6791242920 is about 82408.9978097052. The cubic root of 6791242920 is about 1893.7228599406.

The spelling of 6791242920 in words is "six billion, seven hundred ninety-one million, two hundred forty-two thousand, nine hundred twenty".