6735961600 has 120 divisors (see below), whose sum is σ = 16964425368. Its totient is φ = 2649907200.

The previous prime is 6735961597. The next prime is 6735961607. The reversal of 6735961600 is 61695376.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6735961607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 776487 + ... + 785113.

Almost surely, 2^6735961600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6735961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482212684).

6735961600 is an abundant number, since it is smaller than the sum of its proper divisors (10228463768).

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

6735961600 is an equidigital number, since it uses as much as digits as its factorization.

6735961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8716 (or 8695 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 43.

The square root of 6735961600 is about 82072.9041767135. The cubic root of 6735961600 is about 1888.5704969435.

The spelling of 6735961600 in words is "six billion, seven hundred thirty-five million, nine hundred sixty-one thousand, six hundred".