6514582440 has 128 divisors (see below), whose sum is σ = 20599401600. Its totient is φ = 1643627520.

The previous prime is 6514582429. The next prime is 6514582441. The reversal of 6514582440 is 442854156.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (6514582441) 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, 2417734 + ... + 2420426.

It is an arithmetic number, because the mean of its divisors is an integer number (160932825).

Almost surely, 2^6514582440 is an apocalyptic number.

6514582440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6514582440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10299700800).

6514582440 is an abundant number, since it is smaller than the sum of its proper divisors (14084819160).

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

6514582440 is a wasteful number, since it uses less digits than its factorization.

6514582440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3787 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 39.

The square root of 6514582440 is about 80712.9632710880. The cubic root of 6514582440 is about 1867.6501545010.

The spelling of 6514582440 in words is "six billion, five hundred fourteen million, five hundred eighty-two thousand, four hundred forty".