6446046624 has 48 divisors (see below), whose sum is σ = 17001119520. Its totient is φ = 2138492160.

The previous prime is 6446046557. The next prime is 6446046683. The reversal of 6446046624 is 4266406446.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138859 + ... + 179370.

It is an arithmetic number, because the mean of its divisors is an integer number (354189990).

Almost surely, 2^6446046624 is an apocalyptic number.

It is an amenable number.

6446046624 is an abundant number, since it is smaller than the sum of its proper divisors (10555072896).

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

6446046624 is a wasteful number, since it uses less digits than its factorization.

6446046624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318453 (or 318445 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The square root of 6446046624 is about 80287.2756045440. The cubic root of 6446046624 is about 1861.0775950198.

The spelling of 6446046624 in words is "six billion, four hundred forty-six million, forty-six thousand, six hundred twenty-four".