67133684352 has 256 divisors, whose sum is σ = 227146982400. Its totient is φ = 17102389248.

The previous prime is 67133684327. The next prime is 67133684441. The reversal of 67133684352 is 25348633176.

67133684352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 829563 + ... + 906885.

It is an arithmetic number, because the mean of its divisors is an integer number (887292900).

Almost surely, 2^67133684352 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 67133684352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113573491200).

67133684352 is an abundant number, since it is smaller than the sum of its proper divisors (160013298048).

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

67133684352 is a wasteful number, since it uses less digits than its factorization.

67133684352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77383 (or 77371 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 48.

The spelling of 67133684352 in words is "sixty-seven billion, one hundred thirty-three million, six hundred eighty-four thousand, three hundred fifty-two".