77534616680144 has 80 divisors (see below), whose sum is σ = 162305232758592. Its totient is φ = 35668810404864.

The previous prime is 77534616680137. The next prime is 77534616680203. The reversal of 77534616680144 is 44108661643577.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2208505439 + ... + 2208540545.

Almost surely, 2^{77534616680144} 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 77534616680144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81152616379296).

77534616680144 is an abundant number, since it is smaller than the sum of its proper divisors (84770616078448).

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

77534616680144 is a wasteful number, since it uses less digits than its factorization.

77534616680144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69364 (or 69358 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 62.

The spelling of 77534616680144 in words is "seventy-seven trillion, five hundred thirty-four billion, six hundred sixteen million, six hundred eighty thousand, one hundred forty-four".