6799921920 has 576 divisors, whose sum is σ = 27220193280. Its totient is φ = 1592524800.

The previous prime is 6799921897. The next prime is 6799921927. The reversal of 6799921920 is 291299976.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6799921927) 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 63 ways as a sum of consecutive naturals, for example, 11784672 + ... + 11785248.

It is an arithmetic number, because the mean of its divisors is an integer number (47257280).

Almost surely, 2^6799921920 is an apocalyptic number.

6799921920 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 6799921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13610096640).

6799921920 is an abundant number, since it is smaller than the sum of its proper divisors (20420271360).

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

6799921920 is a wasteful number, since it uses less digits than its factorization.

6799921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 649 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The square root of 6799921920 is about 82461.6390814541. The cubic root of 6799921920 is about 1894.5292230986.

The spelling of 6799921920 in words is "six billion, seven hundred ninety-nine million, nine hundred twenty-one thousand, nine hundred twenty".