6442837440 has 112 divisors (see below), whose sum is σ = 22029590688. Its totient is φ = 1585926144.

The previous prime is 6442837421. The next prime is 6442837469. The reversal of 6442837440 is 447382446.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6442837392 and 6442837401.

It is a congruent number.

It is an unprimeable number.

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, 245647 + ... + 270606.

It is an arithmetic number, because the mean of its divisors is an integer number (196692774).

Almost surely, 2^6442837440 is an apocalyptic number.

6442837440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6442837440 is an abundant number, since it is smaller than the sum of its proper divisors (15586753248).

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

6442837440 is a wasteful number, since it uses less digits than its factorization.

6442837440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516286 (or 516276 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 42.

The square root of 6442837440 is about 80267.2874837564. The cubic root of 6442837440 is about 1860.7686960303.

The spelling of 6442837440 in words is "six billion, four hundred forty-two million, eight hundred thirty-seven thousand, four hundred forty".