6467220144 has 400 divisors, whose sum is σ = 23521470720. Its totient is φ = 1666552320.

The previous prime is 6467220143. The next prime is 6467220169. The reversal of 6467220144 is 4410227646.

6467220144 is a `hidden beast` number, since 646 + 7 + 2 + 2 + 0 + 1 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6467220099 and 6467220108.

It is not an unprimeable number, because it can be changed into a prime (6467220143) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22852227 + ... + 22852509.

Almost surely, 2^6467220144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6467220144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760735360).

6467220144 is an abundant number, since it is smaller than the sum of its proper divisors (17054250576).

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

6467220144 is a wasteful number, since it uses less digits than its factorization.

6467220144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6467220144 is about 80419.0284945050. The cubic root of 6467220144 is about 1863.1130801782.

The spelling of 6467220144 in words is "six billion, four hundred sixty-seven million, two hundred twenty thousand, one hundred forty-four".