5006582460 has 672 divisors, whose sum is σ = 19038136320. Its totient is φ = 1091750400.

The previous prime is 5006582387. The next prime is 5006582461. The reversal of 5006582460 is 642856005.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5006582461) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 94463794 + ... + 94463846.

It is an arithmetic number, because the mean of its divisors is an integer number (28330560).

Almost surely, 2^5006582460 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 5006582460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9519068160).

5006582460 is an abundant number, since it is smaller than the sum of its proper divisors (14031553860).

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

5006582460 is a wasteful number, since it uses less digits than its factorization.

5006582460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5006582460 is about 70757.2078307221. The cubic root of 5006582460 is about 1710.7260075079.

The spelling of 5006582460 in words is "five billion, six million, five hundred eighty-two thousand, four hundred sixty".