76705007346013 has 16 divisors (see below), whose sum is σ = 78952795447680. Its totient is φ = 74466579096000.

The previous prime is 76705007345963. The next prime is 76705007346061. The reversal of 76705007346013 is 31064370050767.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-76705007346013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76705007316013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32109648 + ... + 34415686.

It is an arithmetic number, because the mean of its divisors is an integer number (4934549715480).

Almost surely, 2^{76705007346013} is an apocalyptic number.

It is an amenable number.

76705007346013 is a deficient number, since it is larger than the sum of its proper divisors (2247788101667).

76705007346013 is a wasteful number, since it uses less digits than its factorization.

76705007346013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2308068.

The product of its (nonzero) digits is 2222640, while the sum is 49.

The spelling of 76705007346013 in words is "seventy-six trillion, seven hundred five billion, seven million, three hundred forty-six thousand, thirteen".