6467442440 has 64 divisors (see below), whose sum is σ = 14779584000. Its totient is φ = 2546668800.

The previous prime is 6467442437. The next prime is 6467442451. The reversal of 6467442440 is 442447646.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131590 + ... + 1137290.

It is an arithmetic number, because the mean of its divisors is an integer number (230931000).

Almost surely, 2^6467442440 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 6467442440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7389792000).

6467442440 is an abundant number, since it is smaller than the sum of its proper divisors (8312141560).

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

6467442440 is a wasteful number, since it uses less digits than its factorization.

6467442440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6150 (or 6146 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 41.

The square root of 6467442440 is about 80420.4105933313. The cubic root of 6467442440 is about 1863.1344266935.

The spelling of 6467442440 in words is "six billion, four hundred sixty-seven million, four hundred forty-two thousand, four hundred forty".