6791923920 has 320 divisors, whose sum is σ = 23884185600. Its totient is φ = 1587548160.

The previous prime is 6791923909. The next prime is 6791923969. The reversal of 6791923920 is 293291976.

It is a super-2 number, since 2×6791923920² = 92260461070136332800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6791923920.

It is a congruent number.

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, 3250236 + ... + 3252324.

It is an arithmetic number, because the mean of its divisors is an integer number (74638080).

Almost surely, 2^6791923920 is an apocalyptic number.

6791923920 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 6791923920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942092800).

6791923920 is an abundant number, since it is smaller than the sum of its proper divisors (17092261680).

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

6791923920 is a wasteful number, since it uses less digits than its factorization.

6791923920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2172 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 48.

The square root of 6791923920 is about 82413.1295365004. The cubic root of 6791923920 is about 1893.7861562660.

The spelling of 6791923920 in words is "six billion, seven hundred ninety-one million, nine hundred twenty-three thousand, nine hundred twenty".