77192742912 has 192 divisors, whose sum is σ = 209454336000. Its totient is φ = 25277251584.

The previous prime is 77192742827. The next prime is 77192742919. The reversal of 77192742912 is 21924729177.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (77192742919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174249763 + ... + 174250205.

It is an arithmetic number, because the mean of its divisors is an integer number (1090908000).

Almost surely, 2^77192742912 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 77192742912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104727168000).

77192742912 is an abundant number, since it is smaller than the sum of its proper divisors (132261593088).

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

77192742912 is a wasteful number, since it uses less digits than its factorization.

77192742912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 906 (or 886 counting only the distinct ones).

The product of its digits is 889056, while the sum is 51.

The spelling of 77192742912 in words is "seventy-seven billion, one hundred ninety-two million, seven hundred forty-two thousand, nine hundred twelve".