67633089168 has 160 divisors (see below), whose sum is σ = 186538060800. Its totient is φ = 21054325248.

The previous prime is 67633089163. The next prime is 67633089179. The reversal of 67633089168 is 86198033676.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (67633089163) 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, 55030378 + ... + 55031606.

It is an arithmetic number, because the mean of its divisors is an integer number (1165862880).

Almost surely, 2^67633089168 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 67633089168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93269030400).

67633089168 is an abundant number, since it is smaller than the sum of its proper divisors (118904971632).

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

67633089168 is a wasteful number, since it uses less digits than its factorization.

67633089168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The spelling of 67633089168 in words is "sixty-seven billion, six hundred thirty-three million, eighty-nine thousand, one hundred sixty-eight".