67556000456 has 64 divisors (see below), whose sum is σ = 146417258880. Its totient is φ = 28623006720.

The previous prime is 67556000423. The next prime is 67556000459. The reversal of 67556000456 is 65400065576.

It is a super-2 number, since 2×67556000456² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67556000459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2498771 + ... + 2525661.

It is an arithmetic number, because the mean of its divisors is an integer number (2287769670).

Almost surely, 2^67556000456 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 67556000456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73208629440).

67556000456 is an abundant number, since it is smaller than the sum of its proper divisors (78861258424).

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

67556000456 is a wasteful number, since it uses less digits than its factorization.

67556000456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27414 (or 27410 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 44.

The spelling of 67556000456 in words is "sixty-seven billion, five hundred fifty-six million, four hundred fifty-six", and thus it is an aban number.