5627142144 has 448 divisors, whose sum is σ = 19082918400. Its totient is φ = 1624375296.

The previous prime is 5627142139. The next prime is 5627142149. The reversal of 5627142144 is 4412417265.

5627142144 is a `hidden beast` number, since 5 + 627 + 1 + 4 + 21 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (5627142139) and next prime (5627142149).

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

Its product of digits (53760) is a multiple of the sum of its prime divisors (140).

It is a junction number, because it is equal to n+sod(n) for n = 5627142099 and 5627142108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5627142149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54632397 + ... + 54632499.

It is an arithmetic number, because the mean of its divisors is an integer number (42595800).

Almost surely, 2^5627142144 is an apocalyptic number.

5627142144 is a gapful number since it is divisible by the number (54) 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 5627142144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9541459200).

5627142144 is an abundant number, since it is smaller than the sum of its proper divisors (13455776256).

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

5627142144 is a wasteful number, since it uses less digits than its factorization.

5627142144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 140 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 5627142144 is about 75014.2796006200. The cubic root of 5627142144 is about 1778.6723829306.

The spelling of 5627142144 in words is "five billion, six hundred twenty-seven million, one hundred forty-two thousand, one hundred forty-four".