4007506656749 has 2 divisors, whose sum is σ = 4007506656750. Its totient is φ = 4007506656748.

The previous prime is 4007506656737. The next prime is 4007506656809. The reversal of 4007506656749 is 9476566057004.

4007506656749 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 3086760858724 + 920745798025 = 1756918^2 + 959555^2 .

It is a cyclic number.

It is not a de Polignac number, because 4007506656749 - 2⁴ = 4007506656733 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4007506656719) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2003753328374 + 2003753328375.

It is an arithmetic number, because the mean of its divisors is an integer number (2003753328375).

Almost surely, 2^{4007506656749} is an apocalyptic number.

It is an amenable number.

4007506656749 is a deficient number, since it is larger than the sum of its proper divisors (1).

4007506656749 is an equidigital number, since it uses as much as digits as its factorization.

4007506656749 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38102400, while the sum is 59.

The spelling of 4007506656749 in words is "four trillion, seven billion, five hundred six million, six hundred fifty-six thousand, seven hundred forty-nine".