77251613687668 has 192 divisors, whose sum is σ = 159220131840000. Its totient is φ = 32117183594496.

The previous prime is 77251613687657. The next prime is 77251613687669. The reversal of 77251613687668 is 86678631615277.

It is a super-3 number, since 3×77251613687668³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 77251613687668.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77251613687669) 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, 23247549855 + ... + 23247553177.

It is an arithmetic number, because the mean of its divisors is an integer number (829271520000).

Almost surely, 2^{77251613687668} is an apocalyptic number.

It is an amenable number.

77251613687668 is an abundant number, since it is smaller than the sum of its proper divisors (81968518152332).

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

77251613687668 is a wasteful number, since it uses less digits than its factorization.

77251613687668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4212 counting only the distinct ones).

The product of its digits is 853493760, while the sum is 73.

The spelling of 77251613687668 in words is "seventy-seven trillion, two hundred fifty-one billion, six hundred thirteen million, six hundred eighty-seven thousand, six hundred sixty-eight".