5627671560 has 768 divisors, whose sum is σ = 23885280000. Its totient is φ = 1170505728.

The previous prime is 5627671549. The next prime is 5627671561. The reversal of 5627671560 is 651767265.

5627671560 is a `hidden beast` number, since 5 + 6 + 27 + 67 + 1 + 560 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5627671561) 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 191 ways as a sum of consecutive naturals, for example, 29158824 + ... + 29159016.

It is an arithmetic number, because the mean of its divisors is an integer number (31100625).

Almost surely, 2^5627671560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5627671560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11942640000).

5627671560 is an abundant number, since it is smaller than the sum of its proper divisors (18257608440).

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

5627671560 is a wasteful number, since it uses less digits than its factorization.

5627671560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 5627671560 is about 75017.8082857664. The cubic root of 5627671560 is about 1778.7281618716.

The spelling of 5627671560 in words is "five billion, six hundred twenty-seven million, six hundred seventy-one thousand, five hundred sixty".