6467874816 has 208 divisors, whose sum is σ = 19558797440. Its totient is φ = 1884487680.

The previous prime is 6467874811. The next prime is 6467874817. The reversal of 6467874816 is 6184787646.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6467874811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3034071 + ... + 3036201.

It is an arithmetic number, because the mean of its divisors is an integer number (94032680).

Almost surely, 2^6467874816 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 6467874816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9779398720).

6467874816 is an abundant number, since it is smaller than the sum of its proper divisors (13090922624).

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

6467874816 is a wasteful number, since it uses less digits than its factorization.

6467874816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2168 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 57.

The square root of 6467874816 is about 80423.0987714351. The cubic root of 6467874816 is about 1863.1759452518.

The spelling of 6467874816 in words is "six billion, four hundred sixty-seven million, eight hundred seventy-four thousand, eight hundred sixteen".