6839126784 has 540 divisors, whose sum is σ = 24360424704. Its totient is φ = 1902071808.

The previous prime is 6839126761. The next prime is 6839126807. The reversal of 6839126784 is 4876219386.

It is an interprime number because it is at equal distance from previous prime (6839126761) and next prime (6839126807).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3483648) is a multiple of the sum of its prime divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 6839126784.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53851329 + ... + 53851455.

Almost surely, 2^6839126784 is an apocalyptic number.

6839126784 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 6839126784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12180212352).

6839126784 is an abundant number, since it is smaller than the sum of its proper divisors (17521297920).

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

6839126784 is a wasteful number, since it uses less digits than its factorization.

6839126784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 192 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 6839126784 is about 82699.0131984657. The cubic root of 6839126784 is about 1898.1632095607.

The spelling of 6839126784 in words is "six billion, eight hundred thirty-nine million, one hundred twenty-six thousand, seven hundred eighty-four".