77498724728768 has 224 divisors, whose sum is σ = 186100935229440. Its totient is φ = 31301949127680.

The previous prime is 77498724728767. The next prime is 77498724728771. The reversal of 77498724728768 is 86782742789477.

77498724728768 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 77498724728768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77498724728767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1158064013 + ... + 1158130931.

It is an arithmetic number, because the mean of its divisors is an integer number (830807746560).

Almost surely, 2^{77498724728768} 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 77498724728768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93050467614720).

77498724728768 is an abundant number, since it is smaller than the sum of its proper divisors (108602210500672).

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

77498724728768 is a wasteful number, since it uses less digits than its factorization.

77498724728768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68615 (or 68605 counting only the distinct ones).

The product of its digits is 29739515904, while the sum is 86.

The spelling of 77498724728768 in words is "seventy-seven trillion, four hundred ninety-eight billion, seven hundred twenty-four million, seven hundred twenty-eight thousand, seven hundred sixty-eight".