76936355363967 has 64 divisors (see below), whose sum is σ = 113081328998400. Its totient is φ = 46141414024320.

The previous prime is 76936355363957. The next prime is 76936355363981.

It is a happy number.

76936355363967 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76936355363967 - 2⁷ = 76936355363839 is a prime.

It is a super-2 number, since 2×76936355363967² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 76936355363892 and 76936355363901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76936355363947) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1740501288 + ... + 1740545490.

It is an arithmetic number, because the mean of its divisors is an integer number (1766895765600).

Almost surely, 2^{76936355363967} is an apocalyptic number.

76936355363967 is a deficient number, since it is larger than the sum of its proper divisors (36144973634433).

76936355363967 is a wasteful number, since it uses less digits than its factorization.

76936355363967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45588.

The product of its digits is 10416243600, while the sum is 78.

The spelling of 76936355363967 in words is "seventy-six trillion, nine hundred thirty-six billion, three hundred fifty-five million, three hundred sixty-three thousand, nine hundred sixty-seven".