67630826465280 has 2880 divisors, whose sum is σ = 275769843148800. Its totient is φ = 15825237442560.

The previous prime is 67630826465227. The next prime is 67630826465297. The reversal of 67630826465280 is 8256462803676.

It is a happy number.

67630826465280 is a `hidden beast` number, since 6 + 7 + 6 + 30 + 8 + 264 + 65 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 516265850815 + ... + 516265850945.

It is an arithmetic number, because the mean of its divisors is an integer number (95753417760).

Almost surely, 2^{67630826465280} is an apocalyptic number.

67630826465280 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67630826465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137884921574400).

67630826465280 is an abundant number, since it is smaller than the sum of its proper divisors (208139016683520).

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

67630826465280 is a wasteful number, since it uses less digits than its factorization.

67630826465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 67630826465280 in words is "sixty-seven trillion, six hundred thirty billion, eight hundred twenty-six million, four hundred sixty-five thousand, two hundred eighty".