6407242721 has 16 divisors (see below), whose sum is σ = 7083504000. Its totient is φ = 5747136000.

The previous prime is 6407242717. The next prime is 6407242759. The reversal of 6407242721 is 1272427046.

It is a cyclic number.

It is not a de Polignac number, because 6407242721 - 2² = 6407242717 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6407242771) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234545 + ... + 260433.

It is an arithmetic number, because the mean of its divisors is an integer number (442719000).

Almost surely, 2^6407242721 is an apocalyptic number.

It is an amenable number.

6407242721 is a deficient number, since it is larger than the sum of its proper divisors (676261279).

6407242721 is a wasteful number, since it uses less digits than its factorization.

6407242721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26200.

The product of its (nonzero) digits is 37632, while the sum is 35.

The square root of 6407242721 is about 80045.2542066049. The cubic root of 6407242721 is about 1857.3356388500.

Adding to 6407242721 its reverse (1272427046), we get a palindrome (7679669767).

The spelling of 6407242721 in words is "six billion, four hundred seven million, two hundred forty-two thousand, seven hundred twenty-one".