6858874400 has 144 divisors (see below), whose sum is σ = 20262203136. Its totient is φ = 2213253120.

The previous prime is 6858874387. The next prime is 6858874409. The reversal of 6858874400 is 44788586.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (6858874409) 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 23 ways as a sum of consecutive naturals, for example, 59177 + ... + 131223.

It is an arithmetic number, because the mean of its divisors is an integer number (140709744).

Almost surely, 2^6858874400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6858874400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10131101568).

6858874400 is an abundant number, since it is smaller than the sum of its proper divisors (13403328736).

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

6858874400 is a wasteful number, since it uses less digits than its factorization.

6858874400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72091 (or 72078 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 50.

The square root of 6858874400 is about 82818.3216444284. The cubic root of 6858874400 is about 1899.9884025146.

The spelling of 6858874400 in words is "six billion, eight hundred fifty-eight million, eight hundred seventy-four thousand, four hundred".