68435767296 has 728 divisors, whose sum is σ = 231625884336. Its totient is φ = 20065812480.

The previous prime is 68435767271. The next prime is 68435767297. The reversal of 68435767296 is 69276753486.

68435767296 is a `hidden beast` number, since 68 + 435 + 76 + 72 + 9 + 6 = 666.

68435767296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68435767297) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1591529451 + ... + 1591529493.

Almost surely, 2^68435767296 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 68435767296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115812942168).

68435767296 is an abundant number, since it is smaller than the sum of its proper divisors (163190117040).

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

68435767296 is an equidigital number, since it uses as much as digits as its factorization.

68435767296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 102 counting only the distinct ones).

The product of its digits is 91445760, while the sum is 63.

The spelling of 68435767296 in words is "sixty-eight billion, four hundred thirty-five million, seven hundred sixty-seven thousand, two hundred ninety-six".