67221413705160 has 1024 divisors, whose sum is σ = 267857215718400. Its totient is φ = 14965647298560.

The previous prime is 67221413705153. The next prime is 67221413705197. The reversal of 67221413705160 is 6150731412276.

67221413705160 is a `hidden beast` number, since 6 + 7 + 2 + 2 + 1 + 413 + 70 + 5 + 160 = 666.

67221413705160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2464385442 + ... + 2464412718.

It is an arithmetic number, because the mean of its divisors is an integer number (261579312225).

Almost surely, 2^{67221413705160} is an apocalyptic number.

67221413705160 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 67221413705160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133928607859200).

67221413705160 is an abundant number, since it is smaller than the sum of its proper divisors (200635802013240).

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

67221413705160 is a wasteful number, since it uses less digits than its factorization.

67221413705160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27530 (or 27508 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 67221413705160 in words is "sixty-seven trillion, two hundred twenty-one billion, four hundred thirteen million, seven hundred five thousand, one hundred sixty".