6874392000 has 896 divisors, whose sum is σ = 28757514240. Its totient is φ = 1410662400.

The previous prime is 6874391989. The next prime is 6874392043. The reversal of 6874392000 is 2934786.

It is a self number, because there is not a number n which added to its sum of digits gives 6874392000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82823959 + ... + 82824041.

It is an arithmetic number, because the mean of its divisors is an integer number (32095440).

Almost surely, 2^6874392000 is an apocalyptic number.

6874392000 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 6874392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14378757120).

6874392000 is an abundant number, since it is smaller than the sum of its proper divisors (21883122240).

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

6874392000 is a wasteful number, since it uses less digits than its factorization.

6874392000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 6874392000 is about 82911.9532998711. The cubic root of 6874392000 is about 1901.4201755138.

The spelling of 6874392000 in words is "six billion, eight hundred seventy-four million, three hundred ninety-two thousand".