5468836900 has 36 divisors (see below), whose sum is σ = 11984896980. Its totient is φ = 2165872000.

The previous prime is 5468836873. The next prime is 5468836903. The reversal of 5468836900 is 96388645.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 135163876 + 5333673024 = 11626^2 + 73032^2 .

It is a super-2 number, since 2×5468836900² = 59816354077603220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5468836903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 260635 + ... + 280834.

It is an arithmetic number, because the mean of its divisors is an integer number (332913805).

Almost surely, 2^5468836900 is an apocalyptic number.

5468836900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5468836900 is an abundant number, since it is smaller than the sum of its proper divisors (6516060080).

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

5468836900 is a wasteful number, since it uses less digits than its factorization.

5468836900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541584 (or 541577 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

The square root of 5468836900 is about 73951.5848376490. The cubic root of 5468836900 is about 1761.8340149327.

The spelling of 5468836900 in words is "five billion, four hundred sixty-eight million, eight hundred thirty-six thousand, nine hundred".