77334504841368 has 96 divisors (see below), whose sum is σ = 214387232716800. Its totient is φ = 25170600176064.

The previous prime is 77334504841367. The next prime is 77334504841369. The reversal of 77334504841368 is 86314840543377.

77334504841368 is a `hidden beast` number, since 7 + 7 + 3 + 3 + 450 + 48 + 4 + 136 + 8 = 666.

77334504841368 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (77334504841367) and next prime (77334504841369).

It is a super-2 number, since 2×77334504841368² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77334504841367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5652121 + ... + 13660727.

It is an arithmetic number, because the mean of its divisors is an integer number (2233200340800).

Almost surely, 2^{77334504841368} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77334504841368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107193616358400).

77334504841368 is an abundant number, since it is smaller than the sum of its proper divisors (137052727875432).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

77334504841368 is a wasteful number, since it uses less digits than its factorization.

77334504841368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8011781 (or 8011774 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 77334504841368 in words is "seventy-seven trillion, three hundred thirty-four billion, five hundred four million, eight hundred forty-one thousand, three hundred sixty-eight".