5005325640 has 256 divisors, whose sum is σ = 18236275200. Its totient is φ = 1072889856.

The previous prime is 5005325617. The next prime is 5005325641. The reversal of 5005325640 is 465235005.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5005325598 and 5005325607.

It is not an unprimeable number, because it can be changed into a prime (5005325641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5840092 + ... + 5840948.

It is an arithmetic number, because the mean of its divisors is an integer number (71235450).

Almost surely, 2^5005325640 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 5005325640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9118137600).

5005325640 is an abundant number, since it is smaller than the sum of its proper divisors (13230949560).

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

5005325640 is a wasteful number, since it uses less digits than its factorization.

5005325640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The square root of 5005325640 is about 70748.3260579358. The cubic root of 5005325640 is about 1710.5828456727.

The spelling of 5005325640 in words is "five billion, five million, three hundred twenty-five thousand, six hundred forty".