67618105841728 has 56 divisors (see below), whose sum is σ = 144537977629080. Its totient is φ = 31200411955200.

The previous prime is 67618105841723. The next prime is 67618105841809. The reversal of 67618105841728 is 82714850181676.

It can be written as a sum of positive squares in 4 ways, for example, as 115975664704 + 67502130177024 = 340552^2 + 8215968^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 67618105841728.

It is not an unprimeable number, because it can be changed into a prime (67618105841723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7073623 + ... + 13611478.

It is an arithmetic number, because the mean of its divisors is an integer number (2581035314805).

Almost surely, 2^{67618105841728} is an apocalyptic number.

It is an amenable number.

67618105841728 is an abundant number, since it is smaller than the sum of its proper divisors (76919871787352).

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

67618105841728 is a wasteful number, since it uses less digits than its factorization.

67618105841728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20689055 (or 20689045 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 64.

The spelling of 67618105841728 in words is "sixty-seven trillion, six hundred eighteen billion, one hundred five million, eight hundred forty-one thousand, seven hundred twenty-eight".