6467125244160 has 864 divisors, whose sum is σ = 24910715289600. Its totient is φ = 1424223682560.

The previous prime is 6467125244141. The next prime is 6467125244171. The reversal of 6467125244160 is 614425217646.

It is a super-2 number, since 2×6467125244160² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1394075121 + ... + 1394079759.

It is an arithmetic number, because the mean of its divisors is an integer number (28831846400).

Almost surely, 2^{6467125244160} is an apocalyptic number.

6467125244160 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 6467125244160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12455357644800).

6467125244160 is an abundant number, since it is smaller than the sum of its proper divisors (18443590045440).

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

6467125244160 is a wasteful number, since it uses less digits than its factorization.

6467125244160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4947 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 6467125244160 in words is "six trillion, four hundred sixty-seven billion, one hundred twenty-five million, two hundred forty-four thousand, one hundred sixty".