6642244440 has 384 divisors, whose sum is σ = 24200467200. Its totient is φ = 1569300480.

The previous prime is 6642244393. The next prime is 6642244463. The reversal of 6642244440 is 444422466.

6642244440 is a `hidden beast` number, since 6 + 642 + 2 + 4 + 4 + 4 + 4 + 0 = 666.

It is a super-2 number, since 2×6642244440² = 88238822401421827200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6642244395 and 6642244404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15411025 + ... + 15411455.

It is an arithmetic number, because the mean of its divisors is an integer number (63022050).

Almost surely, 2^6642244440 is an apocalyptic number.

6642244440 is a gapful number since it is divisible by the number (60) 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 6642244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12100233600).

6642244440 is an abundant number, since it is smaller than the sum of its proper divisors (17558222760).

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

6642244440 is a wasteful number, since it uses less digits than its factorization.

6642244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The square root of 6642244440 is about 81499.9658895634. The cubic root of 6642244440 is about 1879.7710261348.

The spelling of 6642244440 in words is "six billion, six hundred forty-two million, two hundred forty-four thousand, four hundred forty".