6834347520 has 960 divisors, whose sum is σ = 30094073856. Its totient is φ = 1300561920.

The previous prime is 6834347501. The next prime is 6834347521. The reversal of 6834347520 is 257434386.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6834347521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53813697 + ... + 53813823.

Almost surely, 2^6834347520 is an apocalyptic number.

6834347520 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 6834347520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15047036928).

6834347520 is an abundant number, since it is smaller than the sum of its proper divisors (23259726336).

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

6834347520 is a wasteful number, since it uses less digits than its factorization.

6834347520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The square root of 6834347520 is about 82670.1126163501. The cubic root of 6834347520 is about 1897.7209534380.

The spelling of 6834347520 in words is "six billion, eight hundred thirty-four million, three hundred forty-seven thousand, five hundred twenty".