67226311680 has 352 divisors, whose sum is σ = 236102093568. Its totient is φ = 16190668800.

The previous prime is 67226311631. The next prime is 67226311693. The reversal of 67226311680 is 8611362276.

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27539260 + ... + 27541700.

It is an arithmetic number, because the mean of its divisors is an integer number (670744584).

Almost surely, 2^67226311680 is an apocalyptic number.

67226311680 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 67226311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118051046784).

67226311680 is an abundant number, since it is smaller than the sum of its proper divisors (168875781888).

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

67226311680 is a wasteful number, since it uses less digits than its factorization.

67226311680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 67226311680 in words is "sixty-seven billion, two hundred twenty-six million, three hundred eleven thousand, six hundred eighty".