5336766900 has 108 divisors (see below), whose sum is σ = 16820731564. Its totient is φ = 1415275200.

The previous prime is 5336766887. The next prime is 5336766917. The reversal of 5336766900 is 96676335.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 5335425936 + 1340964 = 73044^2 + 1158^2 .

It is a super-2 number, since 2×5336766900² = 56962161889871220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 29484810 + ... + 29484990.

Almost surely, 2^5336766900 is an apocalyptic number.

5336766900 is a gapful number since it is divisible by the number (50) 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 5336766900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8410365782).

5336766900 is an abundant number, since it is smaller than the sum of its proper divisors (11483964664).

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

5336766900 is an equidigital number, since it uses as much as digits as its factorization.

5336766900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 45.

The square root of 5336766900 is about 73053.1785756102. The cubic root of 5336766900 is about 1747.5357861362.

The spelling of 5336766900 in words is "five billion, three hundred thirty-six million, seven hundred sixty-six thousand, nine hundred".