6859125504 has 648 divisors, whose sum is σ = 26371328256. Its totient is φ = 1662566400.

The previous prime is 6859125487. The next prime is 6859125517. The reversal of 6859125504 is 4055219586.

6859125504 is a `hidden beast` number, since 6 + 8 + 5 + 91 + 2 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 6859125504.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167295724 + ... + 167295764.

Almost surely, 2^6859125504 is an apocalyptic number.

6859125504 is a gapful number since it is divisible by the number (64) 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 6859125504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13185664128).

6859125504 is an abundant number, since it is smaller than the sum of its proper divisors (19512202752).

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

6859125504 is a wasteful number, since it uses less digits than its factorization.

6859125504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The square root of 6859125504 is about 82819.8376236032. The cubic root of 6859125504 is about 1900.0115884796.

The spelling of 6859125504 in words is "six billion, eight hundred fifty-nine million, one hundred twenty-five thousand, five hundred four".