67057813728 has 144 divisors (see below), whose sum is σ = 196179643296. Its totient is φ = 21711836160.

The previous prime is 67057813721. The next prime is 67057813729. The reversal of 67057813728 is 82731875076.

67057813728 is a `hidden beast` number, since 67 + 0 + 578 + 1 + 3 + 7 + 2 + 8 = 666.

67057813728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67057813721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6718950 + ... + 6728922.

It is an arithmetic number, because the mean of its divisors is an integer number (1362358634).

Almost surely, 2^67057813728 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 67057813728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98089821648).

67057813728 is an abundant number, since it is smaller than the sum of its proper divisors (129121829568).

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

67057813728 is a wasteful number, since it uses less digits than its factorization.

67057813728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10657 (or 10646 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 67057813728 in words is "sixty-seven billion, fifty-seven million, eight hundred thirteen thousand, seven hundred twenty-eight".