6007400040 has 64 divisors (see below), whose sum is σ = 18027308160. Its totient is φ = 1601519360.

The previous prime is 6007400033. The next prime is 6007400051. The reversal of 6007400040 is 400047006.

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, 785917 + ... + 793523.

It is an arithmetic number, because the mean of its divisors is an integer number (281676690).

Almost surely, 2^6007400040 is an apocalyptic number.

6007400040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6007400040 is an abundant number, since it is smaller than the sum of its proper divisors (12019908120).

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

6007400040 is a wasteful number, since it uses less digits than its factorization.

6007400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14202 (or 14198 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 6007400040 is about 77507.4192577717. The cubic root of 6007400040 is about 1817.8673284273.

Adding to 6007400040 its reverse (400047006), we get a palindrome (6407447046).

The spelling of 6007400040 in words is "six billion, seven million, four hundred thousand, forty".