1006768634739 has 32 divisors (see below), whose sum is σ = 1619083591680. Its totient is φ = 543594501792.

The previous prime is 1006768634717. The next prime is 1006768634761. The reversal of 1006768634739 is 9374368676001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1006768634717) and next prime (1006768634761).

It is not a de Polignac number, because 1006768634739 - 2⁷ = 1006768634611 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1006768634779) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3141217 + ... + 3446850.

It is an arithmetic number, because the mean of its divisors is an integer number (50596362240).

Almost surely, 2^{1006768634739} is an apocalyptic number.

1006768634739 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1006768634739 is a deficient number, since it is larger than the sum of its proper divisors (612314956941).

1006768634739 is a wasteful number, since it uses less digits than its factorization.

1006768634739 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6588479.

The product of its (nonzero) digits is 27433728, while the sum is 60.

The spelling of 1006768634739 in words is "one trillion, six billion, seven hundred sixty-eight million, six hundred thirty-four thousand, seven hundred thirty-nine".