6834980856 has 128 divisors (see below), whose sum is σ = 18975306240. Its totient is φ = 2034278400.

The previous prime is 6834980851. The next prime is 6834980857. The reversal of 6834980856 is 6580894386.

It is a junction number, because it is equal to n+sod(n) for n = 6834980796 and 6834980805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6834980851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6616116 + ... + 6617148.

It is an arithmetic number, because the mean of its divisors is an integer number (148244580).

Almost surely, 2^6834980856 is an apocalyptic number.

6834980856 is a gapful number since it is divisible by the number (66) 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 6834980856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9487653120).

6834980856 is an abundant number, since it is smaller than the sum of its proper divisors (12140325384).

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

6834980856 is a wasteful number, since it uses less digits than its factorization.

6834980856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1477 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The square root of 6834980856 is about 82673.9430292278. The cubic root of 6834980856 is about 1897.7795719514.

The spelling of 6834980856 in words is "six billion, eight hundred thirty-four million, nine hundred eighty thousand, eight hundred fifty-six".