6735540000 has 720 divisors, whose sum is σ = 26923881600. Its totient is φ = 1467648000.

The previous prime is 6735539981. The next prime is 6735540043. The reversal of 6735540000 is 455376.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 6735540000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 85259961 + ... + 85260039.

It is an arithmetic number, because the mean of its divisors is an integer number (37394280).

Almost surely, 2^6735540000 is an apocalyptic number.

6735540000 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 6735540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13461940800).

6735540000 is an abundant number, since it is smaller than the sum of its proper divisors (20188341600).

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

6735540000 is a wasteful number, since it uses less digits than its factorization.

6735540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 6735540000 is about 82070.3356883594. The cubic root of 6735540000 is about 1888.5310946042.

Adding to 6735540000 its reverse (455376), we get a palindrome (6735995376).

The spelling of 6735540000 in words is "six billion, seven hundred thirty-five million, five hundred forty thousand".