67128980256 has 768 divisors, whose sum is σ = 233920512000. Its totient is φ = 18542960640.

The previous prime is 67128980251. The next prime is 67128980263. The reversal of 67128980256 is 65208982176.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (67128980251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 482942235 + ... + 482942373.

It is an arithmetic number, because the mean of its divisors is an integer number (304584000).

Almost surely, 2^67128980256 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 67128980256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116960256000).

67128980256 is an abundant number, since it is smaller than the sum of its proper divisors (166791531744).

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

67128980256 is a wasteful number, since it uses less digits than its factorization.

67128980256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 67128980256 in words is "sixty-seven billion, one hundred twenty-eight million, nine hundred eighty thousand, two hundred fifty-six".