6467042016 has 72 divisors (see below), whose sum is σ = 18398487744. Its totient is φ = 2154762240.

The previous prime is 6467042011. The next prime is 6467042039. The reversal of 6467042016 is 6102407646.

6467042016 is a `hidden beast` number, since 646 + 7 + 0 + 4 + 2 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6467042011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1185856 + ... + 1191296.

It is an arithmetic number, because the mean of its divisors is an integer number (255534552).

Almost surely, 2^6467042016 is an apocalyptic number.

It is an amenable number.

6467042016 is an abundant number, since it is smaller than the sum of its proper divisors (11931445728).

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

6467042016 is a wasteful number, since it uses less digits than its factorization.

6467042016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9584 (or 9573 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 6467042016 is about 80417.9209877997. The cubic root of 6467042016 is about 1863.0959746498.

The spelling of 6467042016 in words is "six billion, four hundred sixty-seven million, forty-two thousand, sixteen".