6467122275264 has 560 divisors, whose sum is σ = 22445949926400. Its totient is φ = 1802589272064.

The previous prime is 6467122275241. The next prime is 6467122275287. The reversal of 6467122275264 is 4625722217646.

It is a happy number.

6467122275264 is a `hidden beast` number, since 6 + 4 + 6 + 71 + 22 + 27 + 526 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (6467122275241) and next prime (6467122275287).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6467122275264.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1621236982 + ... + 1621240970.

It is an arithmetic number, because the mean of its divisors is an integer number (40082053440).

Almost surely, 2^{6467122275264} is an apocalyptic number.

6467122275264 is a gapful number since it is divisible by the number (64) 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 6467122275264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11222974963200).

6467122275264 is an abundant number, since it is smaller than the sum of its proper divisors (15978827651136).

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

6467122275264 is a wasteful number, since it uses less digits than its factorization.

6467122275264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5102 (or 5083 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 6467122275264 in words is "six trillion, four hundred sixty-seven billion, one hundred twenty-two million, two hundred seventy-five thousand, two hundred sixty-four".