6874560000 has 1200 divisors, whose sum is σ = 31907386368. Its totient is φ = 1382400000.

The previous prime is 6874559981. The next prime is 6874560029. The reversal of 6874560000 is 654786.

It is a happy number.

6874560000 is a `hidden beast` number, since 6 + 8 + 7 + 45 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 119 ways as a sum of consecutive naturals, for example, 221759985 + ... + 221760015.

Almost surely, 2^6874560000 is an apocalyptic number.

6874560000 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 6874560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15953693184).

6874560000 is an abundant number, since it is smaller than the sum of its proper divisors (25032826368).

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

6874560000 is a wasteful number, since it uses less digits than its factorization.

6874560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 6874560000 is about 82912.9664165986. The cubic root of 6874560000 is about 1901.4356646890.

The spelling of 6874560000 in words is "six billion, eight hundred seventy-four million, five hundred sixty thousand".