6835734360 has 768 divisors, whose sum is σ = 28983951360. Its totient is φ = 1358622720.

The previous prime is 6835734341. The next prime is 6835734371. The reversal of 6835734360 is 634375386.

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 191 ways as a sum of consecutive naturals, for example, 53824617 + ... + 53824743.

It is an arithmetic number, because the mean of its divisors is an integer number (37739520).

Almost surely, 2^6835734360 is an apocalyptic number.

6835734360 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 6835734360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14491975680).

6835734360 is an abundant number, since it is smaller than the sum of its proper divisors (22148217000).

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

6835734360 is a wasteful number, since it uses less digits than its factorization.

6835734360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The square root of 6835734360 is about 82678.4999863931. The cubic root of 6835734360 is about 1897.8493079162.

The spelling of 6835734360 in words is "six billion, eight hundred thirty-five million, seven hundred thirty-four thousand, three hundred sixty".