5627508480 has 576 divisors, whose sum is σ = 22145840640. Its totient is φ = 1341849600.

The previous prime is 5627508433. The next prime is 5627508499. The reversal of 5627508480 is 848057265.

5627508480 is a `hidden beast` number, since 5 + 62 + 7 + 508 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42958015 + ... + 42958145.

It is an arithmetic number, because the mean of its divisors is an integer number (38447640).

Almost surely, 2^5627508480 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 5627508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11072920320).

5627508480 is an abundant number, since it is smaller than the sum of its proper divisors (16518332160).

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

5627508480 is a wasteful number, since it uses less digits than its factorization.

5627508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 5627508480 is about 75016.7213359795. The cubic root of 5627508480 is about 1778.7109802369.

The spelling of 5627508480 in words is "five billion, six hundred twenty-seven million, five hundred eight thousand, four hundred eighty".