6785349120 has 480 divisors, whose sum is σ = 26301379104. Its totient is φ = 1602355200.

The previous prime is 6785349101. The next prime is 6785349127. The reversal of 6785349120 is 219435876.

6785349120 is a `hidden beast` number, since 6 + 7 + 8 + 534 + 91 + 20 = 666.

6785349120 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

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

6785349120 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6785349127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10390714 + ... + 10391366.

It is a 2-persistent number, because it is pandigital, and so is 2⋅6785349120 = 13570698240, but 3⋅6785349120 = 20356047360 is not.

Almost surely, 2^6785349120 is an apocalyptic number.

6785349120 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 6785349120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13150689552).

6785349120 is an abundant number, since it is smaller than the sum of its proper divisors (19516029984).

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

6785349120 is a wasteful number, since it uses less digits than its factorization.

6785349120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6785349120 is about 82373.2306031517. The cubic root of 6785349120 is about 1893.1748770825.

The spelling of 6785349120 in words is "six billion, seven hundred eighty-five million, three hundred forty-nine thousand, one hundred twenty".