6000426640 has 80 divisors (see below), whose sum is σ = 15049255536. Its totient is φ = 2211840000.

The previous prime is 6000426637. The next prime is 6000426659. The reversal of 6000426640 is 466240006.

It can be written as a sum of positive squares in 8 ways, for example, as 253573776 + 5746852864 = 15924^2 + 75808^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 6000426599 and 6000426608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 662140 + ... + 671140.

Almost surely, 2^6000426640 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 6000426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7524627768).

6000426640 is an abundant number, since it is smaller than the sum of its proper divisors (9048828896).

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

6000426640 is a wasteful number, since it uses less digits than its factorization.

6000426640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9668 (or 9662 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 6000426640 is about 77462.4208245521. The cubic root of 6000426640 is about 1817.1636616074.

Adding to 6000426640 its reverse (466240006), we get a palindrome (6466666646).

The spelling of 6000426640 in words is "six billion, four hundred twenty-six thousand, six hundred forty".