6442290048 has 128 divisors (see below), whose sum is σ = 17738403840. Its totient is φ = 2069452800.

The previous prime is 6442289983. The next prime is 6442290053. The reversal of 6442290048 is 8400922446.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 6442289988 and 6442290015.

It is a congruent number.

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, 3224986 + ... + 3226982.

It is an arithmetic number, because the mean of its divisors is an integer number (138581280).

Almost surely, 2^6442290048 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 6442290048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8869201920).

6442290048 is an abundant number, since it is smaller than the sum of its proper divisors (11296113792).

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

6442290048 is a wasteful number, since it uses less digits than its factorization.

6442290048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 6442290048 is about 80263.8776038138. The cubic root of 6442290048 is about 1860.7159967471.

The spelling of 6442290048 in words is "six billion, four hundred forty-two million, two hundred ninety thousand, forty-eight".