77663499436677 has 128 divisors (see below), whose sum is σ = 134919653253120. Its totient is φ = 38555637120000.

The previous prime is 77663499436541. The next prime is 77663499436703.

77663499436677 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 77663499436677 - 2¹⁵ = 77663499403909 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 77663499436677.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77663499436177) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2375522743 + ... + 2375555435.

It is an arithmetic number, because the mean of its divisors is an integer number (1054059791040).

Almost surely, 2^{77663499436677} is an apocalyptic number.

77663499436677 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

77663499436677 is a deficient number, since it is larger than the sum of its proper divisors (57256153816443).

77663499436677 is a wasteful number, since it uses less digits than its factorization.

77663499436677 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36355.

The product of its digits is 36294822144, while the sum is 84.

The spelling of 77663499436677 in words is "seventy-seven trillion, six hundred sixty-three billion, four hundred ninety-nine million, four hundred thirty-six thousand, six hundred seventy-seven".