6784755120 has 720 divisors, whose sum is σ = 27845262432. Its totient is φ = 1466449920.

The previous prime is 6784755079. The next prime is 6784755143. The reversal of 6784755120 is 215574876.

6784755120 is a `hidden beast` number, since 6 + 78 + 4 + 7 + 551 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 49523692 + ... + 49523828.

Almost surely, 2^6784755120 is an apocalyptic number.

6784755120 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 6784755120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13922631216).

6784755120 is an abundant number, since it is smaller than the sum of its proper divisors (21060507312).

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

6784755120 is a wasteful number, since it uses less digits than its factorization.

6784755120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The square root of 6784755120 is about 82369.6249839709. The cubic root of 6784755120 is about 1893.1196316474.

The spelling of 6784755120 in words is "six billion, seven hundred eighty-four million, seven hundred fifty-five thousand, one hundred twenty".