5627124900 has 108 divisors (see below), whose sum is σ = 17691201892. Its totient is φ = 1496033280.

The previous prime is 5627124887. The next prime is 5627124901. The reversal of 5627124900 is 94217265.

5627124900 is a `hidden beast` number, since 5 + 627 + 1 + 24 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1409401764 + 4217723136 = 37542^2 + 64944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5627124901) 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 35 ways as a sum of consecutive naturals, for example, 294024 + ... + 312576.

Almost surely, 2^5627124900 is an apocalyptic number.

5627124900 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 5627124900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8845600946).

5627124900 is an abundant number, since it is smaller than the sum of its proper divisors (12064076992).

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

5627124900 is a wasteful number, since it uses less digits than its factorization.

5627124900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18910 (or 18900 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5627124900 is about 75014.1646624156. The cubic root of 5627124900 is about 1778.6705660546.

The spelling of 5627124900 in words is "five billion, six hundred twenty-seven million, one hundred twenty-four thousand, nine hundred".