67733000725 has 192 divisors, whose sum is σ = 103593369600. Its totient is φ = 43438602240.

The previous prime is 67733000707. The next prime is 67733000729. The reversal of 67733000725 is 52700033776.

It is a happy number.

67733000725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 67733000725 - 2¹¹ = 67732998677 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67733000729) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 487287706 + ... + 487287844.

It is an arithmetic number, because the mean of its divisors is an integer number (539548800).

Almost surely, 2^67733000725 is an apocalyptic number.

67733000725 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

67733000725 is the 150259-th octagonal number.

It is an amenable number.

67733000725 is a deficient number, since it is larger than the sum of its proper divisors (35860368875).

67733000725 is a wasteful number, since it uses less digits than its factorization.

67733000725 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 40.

The spelling of 67733000725 in words is "sixty-seven billion, seven hundred thirty-three million, seven hundred twenty-five", and thus it is an aban number.