5627561760 has 72 divisors (see below), whose sum is σ = 19204059420. Its totient is φ = 1500682752.

The previous prime is 5627561729. The next prime is 5627561789. The reversal of 5627561760 is 671657265.

5627561760 is a `hidden beast` number, since 5 + 6 + 27 + 5 + 617 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4973634576 + 653927184 = 70524^2 + 25572^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5627561760² = 63338902725228595200, which contains 22 as substring.

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

It is an unprimeable number.

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, 1952575 + ... + 1955454.

Almost surely, 2^5627561760 is an apocalyptic number.

It is an amenable number.

5627561760 is an abundant number, since it is smaller than the sum of its proper divisors (13576497660).

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

5627561760 is a wasteful number, since it uses less digits than its factorization.

5627561760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3908050 (or 3908039 counting only the distinct ones).

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

The square root of 5627561760 is about 75017.0764559643. The cubic root of 5627561760 is about 1778.7165936993.

The spelling of 5627561760 in words is "five billion, six hundred twenty-seven million, five hundred sixty-one thousand, seven hundred sixty".