6736928900 has 36 divisors (see below), whose sum is σ = 15743687652. Its totient is φ = 2487480960.

The previous prime is 6736928833. The next prime is 6736928909. The reversal of 6736928900 is 98296376.

It can be written as a sum of positive squares in 6 ways, for example, as 114875524 + 6622053376 = 10718^2 + 81376^2 .

It is a super-2 number, since 2×6736928900² = 90772422007310420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (6736928909) 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, 2589827 + ... + 2592426.

It is an arithmetic number, because the mean of its divisors is an integer number (437324657).

Almost surely, 2^6736928900 is an apocalyptic number.

It is an amenable number.

6736928900 is an abundant number, since it is smaller than the sum of its proper divisors (9006758752).

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

6736928900 is a wasteful number, since it uses less digits than its factorization.

6736928900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5182280 (or 5182273 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The square root of 6736928900 is about 82078.7968966407. The cubic root of 6736928900 is about 1888.6608936783.

It can be divided in two parts, 67369 and 28900, that added together give a palindrome (96269).

The spelling of 6736928900 in words is "six billion, seven hundred thirty-six million, nine hundred twenty-eight thousand, nine hundred".