6467108224416 has 768 divisors, whose sum is σ = 22243844947968. Its totient is φ = 1602478080000.

The previous prime is 6467108224391. The next prime is 6467108224429. The reversal of 6467108224416 is 6144228017646.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 615851166 + ... + 615861666.

It is an arithmetic number, because the mean of its divisors is an integer number (28963339776).

Almost surely, 2^{6467108224416} 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 6467108224416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11121922473984).

6467108224416 is an abundant number, since it is smaller than the sum of its proper divisors (15776736723552).

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

6467108224416 is a wasteful number, since it uses less digits than its factorization.

6467108224416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10653 (or 10645 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 51.

The spelling of 6467108224416 in words is "six trillion, four hundred sixty-seven billion, one hundred eight million, two hundred twenty-four thousand, four hundred sixteen".