6921794880 has 1008 divisors, whose sum is σ = 32631790464. Its totient is φ = 1327656960.

The previous prime is 6921794879. The next prime is 6921794921. The reversal of 6921794880 is 884971296.

6921794880 is a `hidden beast` number, since 6 + 92 + 1 + 79 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×6921794880² = 95822488721588428800, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 532445754 + ... + 532445766.

It is an arithmetic number, because the mean of its divisors is an integer number (32372808).

Almost surely, 2^6921794880 is an apocalyptic number.

6921794880 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 6921794880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16315895232).

6921794880 is an abundant number, since it is smaller than the sum of its proper divisors (25709995584).

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

6921794880 is a wasteful number, since it uses less digits than its factorization.

6921794880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 6921794880 is about 83197.3249569961. The cubic root of 6921794880 is about 1905.7806294991.

The spelling of 6921794880 in words is "six billion, nine hundred twenty-one million, seven hundred ninety-four thousand, eight hundred eighty".