6784149120 has 512 divisors, whose sum is σ = 26884915200. Its totient is φ = 1420001280.

The previous prime is 6784149109. The next prime is 6784149143. The reversal of 6784149120 is 219414876.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7915732 + ... + 7916588.

It is an arithmetic number, because the mean of its divisors is an integer number (52509600).

Almost surely, 2^6784149120 is an apocalyptic number.

6784149120 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 6784149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13442457600).

6784149120 is an abundant number, since it is smaller than the sum of its proper divisors (20100766080).

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

6784149120 is a wasteful number, since it uses less digits than its factorization.

6784149120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 6784149120 is about 82365.9463613452. The cubic root of 6784149120 is about 1893.0632668200.

The spelling of 6784149120 in words is "six billion, seven hundred eighty-four million, one hundred forty-nine thousand, one hundred twenty".