5140832640 has 256 divisors, whose sum is σ = 17449344000. Its totient is φ = 1282899968.

The previous prime is 5140832597. The next prime is 5140832647. The reversal of 5140832640 is 462380415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5140832647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7800631 + ... + 7801289.

It is an arithmetic number, because the mean of its divisors is an integer number (68161500).

Almost surely, 2^5140832640 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 5140832640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8724672000).

5140832640 is an abundant number, since it is smaller than the sum of its proper divisors (12308511360).

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

5140832640 is a wasteful number, since it uses less digits than its factorization.

5140832640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 937 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 5140832640 is about 71699.5999988842. The cubic root of 5140832640 is about 1725.8822221134.

It can be divided in two parts, 51408 and 32640, that added together give a palindrome (84048).

The spelling of 5140832640 in words is "five billion, one hundred forty million, eight hundred thirty-two thousand, six hundred forty".