6442557184 has 144 divisors (see below), whose sum is σ = 15780235968. Its totient is φ = 2562195456.

The previous prime is 6442557169. The next prime is 6442557217. The reversal of 6442557184 is 4817552446.

It is a super-2 number, since 2×6442557184² = 83013086138220019712, which contains 22 as substring.

It is a zygodrome in base 2.

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, 2222424 + ... + 2225320.

It is an arithmetic number, because the mean of its divisors is an integer number (109584972).

Almost surely, 2^6442557184 is an apocalyptic number.

6442557184 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6442557184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7890117984).

6442557184 is an abundant number, since it is smaller than the sum of its proper divisors (9337678784).

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

6442557184 is a wasteful number, since it uses less digits than its factorization.

6442557184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 2996 counting only the distinct ones).

The product of its digits is 1075200, while the sum is 46.

The square root of 6442557184 is about 80265.5416975429. The cubic root of 6442557184 is about 1860.7417152082.

The spelling of 6442557184 in words is "six billion, four hundred forty-two million, five hundred fifty-seven thousand, one hundred eighty-four".