5007627360 has 432 divisors, whose sum is σ = 18514104336. Its totient is φ = 1277254656.

The previous prime is 5007627349. The next prime is 5007627409. The reversal of 5007627360 is 637267005.

It is a happy number.

5007627360 is a `hidden beast` number, since 500 + 76 + 27 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 84875011 + ... + 84875069.

It is an arithmetic number, because the mean of its divisors is an integer number (42856723).

Almost surely, 2^5007627360 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 5007627360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9257052168).

5007627360 is an abundant number, since it is smaller than the sum of its proper divisors (13506476976).

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

5007627360 is an equidigital number, since it uses as much as digits as its factorization.

5007627360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 5007627360 is about 70764.5911455722. The cubic root of 5007627360 is about 1710.8450117240.

The spelling of 5007627360 in words is "five billion, seven million, six hundred twenty-seven thousand, three hundred sixty".