6467122257120 has 1152 divisors, whose sum is σ = 26787511296000. Its totient is φ = 1472788832256.

The previous prime is 6467122257109. The next prime is 6467122257229. The reversal of 6467122257120 is 217522217646.

6467122257120 is a `hidden beast` number, since 6 + 4 + 6 + 71 + 2 + 2 + 2 + 571 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4494177361 + ... + 4494178799.

It is an arithmetic number, because the mean of its divisors is an integer number (23253048000).

Almost surely, 2^{6467122257120} is an apocalyptic number.

6467122257120 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 6467122257120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13393755648000).

6467122257120 is an abundant number, since it is smaller than the sum of its proper divisors (20320389038880).

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

6467122257120 is a wasteful number, since it uses less digits than its factorization.

6467122257120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1827 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 6467122257120 in words is "six trillion, four hundred sixty-seven billion, one hundred twenty-two million, two hundred fifty-seven thousand, one hundred twenty".