6834980880 has 800 divisors, whose sum is σ = 29824591104. Its totient is φ = 1412370432.

The previous prime is 6834980857. The next prime is 6834980897. The reversal of 6834980880 is 880894386.

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

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 39508474 + ... + 39508646.

Almost surely, 2^6834980880 is an apocalyptic number.

6834980880 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 6834980880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14912295552).

6834980880 is an abundant number, since it is smaller than the sum of its proper divisors (22989610224).

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

6834980880 is a wasteful number, since it uses less digits than its factorization.

6834980880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 6834980880 is about 82673.9431743763. The cubic root of 6834980880 is about 1897.7795741726.

The spelling of 6834980880 in words is "six billion, eight hundred thirty-four million, nine hundred eighty thousand, eight hundred eighty".