67226265600 has 576 divisors, whose sum is σ = 242101379520. Its totient is φ = 16357785600.

The previous prime is 67226265593. The next prime is 67226265703. The reversal of 67226265600 is 656262276.

It is a happy number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 261580672 + ... + 261580928.

It is an arithmetic number, because the mean of its divisors is an integer number (420314895).

Almost surely, 2^67226265600 is an apocalyptic number.

67226265600 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 67226265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121050689760).

67226265600 is an abundant number, since it is smaller than the sum of its proper divisors (174875113920).

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

67226265600 is a wasteful number, since it uses less digits than its factorization.

67226265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 67226265600 in words is "sixty-seven billion, two hundred twenty-six million, two hundred sixty-five thousand, six hundred".