6638158050720 has 1152 divisors, whose sum is σ = 25405799392512. Its totient is φ = 1451571609600.

The previous prime is 6638158050701. The next prime is 6638158050749. The reversal of 6638158050720 is 270508518366.

It is a happy 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 191 ways as a sum of consecutive naturals, for example, 15767596110 + ... + 15767596530.

It is an arithmetic number, because the mean of its divisors is an integer number (22053645306).

Almost surely, 2^{6638158050720} is an apocalyptic number.

6638158050720 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 6638158050720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12702899696256).

6638158050720 is an abundant number, since it is smaller than the sum of its proper divisors (18767641341792).

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

6638158050720 is a wasteful number, since it uses less digits than its factorization.

6638158050720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 51.

The spelling of 6638158050720 in words is "six trillion, six hundred thirty-eight billion, one hundred fifty-eight million, fifty thousand, seven hundred twenty".