6893568000 has 768 divisors, whose sum is σ = 28707475680. Its totient is φ = 1572864000.

The previous prime is 6893567959. The next prime is 6893568023. The reversal of 6893568000 is 8653986.

6893568000 is a `hidden beast` number, since 6 + 89 + 3 + 568 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 405503992 + ... + 405504008.

Almost surely, 2^6893568000 is an apocalyptic number.

6893568000 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 6893568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14353737840).

6893568000 is an abundant number, since it is smaller than the sum of its proper divisors (21813907680).

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

6893568000 is a wasteful number, since it uses less digits than its factorization.

6893568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6893568000 is about 83027.5135120883. The cubic root of 6893568000 is about 1903.1865272480.

The spelling of 6893568000 in words is "six billion, eight hundred ninety-three million, five hundred sixty-eight thousand".