6007135640 has 64 divisors (see below), whose sum is σ = 15612147360. Its totient is φ = 2055915520.

The previous prime is 6007135591. The next prime is 6007135769. The reversal of 6007135640 is 465317006.

It is a junction number, because it is equal to n+sod(n) for n = 6007135597 and 6007135606.

It is a congruent number.

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, 394067 + ... + 409026.

Almost surely, 2^6007135640 is an apocalyptic number.

It is an amenable number.

6007135640 is an abundant number, since it is smaller than the sum of its proper divisors (9605011720).

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

6007135640 is a wasteful number, since it uses less digits than its factorization.

6007135640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803132 (or 803128 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 6007135640 is about 77505.7135958376. The cubic root of 6007135640 is about 1817.8406584774.

The spelling of 6007135640 in words is "six billion, seven million, one hundred thirty-five thousand, six hundred forty".