6005623440 has 80 divisors (see below), whose sum is σ = 18720426816. Its totient is φ = 1592640000.

The previous prime is 6005623411. The next prime is 6005623453. The reversal of 6005623440 is 443265006.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6005623398 and 6005623407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25686 + ... + 112565.

Almost surely, 2^6005623440 is an apocalyptic number.

6005623440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6005623440 is an abundant number, since it is smaller than the sum of its proper divisors (12714803376).

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

6005623440 is a wasteful number, since it uses less digits than its factorization.

6005623440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138448 (or 138442 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 6005623440 is about 77495.9575719921. The cubic root of 6005623440 is about 1817.6881082711.

Adding to 6005623440 its reverse (443265006), we get a palindrome (6448888446).

The spelling of 6005623440 in words is "six billion, five million, six hundred twenty-three thousand, four hundred forty".