5627220480 has 960 divisors, whose sum is σ = 24451435008. Its totient is φ = 1167851520.

The previous prime is 5627220479. The next prime is 5627220491. The reversal of 5627220480 is 840227265.

5627220480 is a `hidden beast` number, since 5 + 627 + 2 + 20 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×5627220480² = 63331220661062860800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 137249260 + ... + 137249300.

Almost surely, 2^5627220480 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 5627220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12225717504).

5627220480 is an abundant number, since it is smaller than the sum of its proper divisors (18824214528).

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

5627220480 is a wasteful number, since it uses less digits than its factorization.

5627220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 118 counting only the distinct ones).

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

The square root of 5627220480 is about 75014.8017393901. The cubic root of 5627220480 is about 1778.6806365834.

The spelling of 5627220480 in words is "five billion, six hundred twenty-seven million, two hundred twenty thousand, four hundred eighty".