6735484900 has 81 divisors (see below), whose sum is σ = 15191059611. Its totient is φ = 2592098880.

The previous prime is 6735484867. The next prime is 6735484909. The reversal of 6735484900 is 94845376.

The square root of 6735484900 is 82070.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 92582884 + 6642902016 = 9622^2 + 81504^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6735484909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 23800159 + ... + 23800441.

Almost surely, 2^6735484900 is an apocalyptic number.

6735484900 is the 82070-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6735484900

6735484900 is an abundant number, since it is smaller than the sum of its proper divisors (8455574711).

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

6735484900 is a wasteful number, since it uses less digits than its factorization.

6735484900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The cubic root of 6735484900 is about 1888.5259448885.

The spelling of 6735484900 in words is "six billion, seven hundred thirty-five million, four hundred eighty-four thousand, nine hundred".