6514432640 has 128 divisors (see below), whose sum is σ = 16589765520. Its totient is φ = 2437611520.

The previous prime is 6514432627. The next prime is 6514432649. The reversal of 6514432640 is 462344156.

It can be written as a sum of positive squares in 8 ways, for example, as 4247910976 + 2266521664 = 65176^2 + 47608^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 6514432640.

It is not an unprimeable number, because it can be changed into a prime (6514432649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1880510 + ... + 1883970.

Almost surely, 2^6514432640 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 6514432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8294882760).

6514432640 is an abundant number, since it is smaller than the sum of its proper divisors (10075332880).

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

6514432640 is a wasteful number, since it uses less digits than its factorization.

6514432640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

The square root of 6514432640 is about 80712.0352859473. The cubic root of 6514432640 is about 1867.6358391227.

Adding to 6514432640 its reverse (462344156), we get a palindrome (6976776796).

The spelling of 6514432640 in words is "six billion, five hundred fourteen million, four hundred thirty-two thousand, six hundred forty".