67945692672 has 1120 divisors, whose sum is σ = 255472398720. Its totient is φ = 17736744960.

The previous prime is 67945692629. The next prime is 67945692707. The reversal of 67945692672 is 27629654976.

67945692672 is a `hidden beast` number, since 6 + 7 + 9 + 4 + 569 + 2 + 67 + 2 = 666.

67945692672 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 an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1014114783 + ... + 1014114849.

It is an arithmetic number, because the mean of its divisors is an integer number (228100356).

Almost surely, 2^67945692672 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 67945692672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127736199360).

67945692672 is an abundant number, since it is smaller than the sum of its proper divisors (187526706048).

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

67945692672 is a wasteful number, since it uses less digits than its factorization.

67945692672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 115 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 63.

The spelling of 67945692672 in words is "sixty-seven billion, nine hundred forty-five million, six hundred ninety-two thousand, six hundred seventy-two".