6638347872 has 288 divisors, whose sum is σ = 21331713312. Its totient is φ = 2018525184.

The previous prime is 6638347871. The next prime is 6638347897. The reversal of 6638347872 is 2787438366.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6638347871) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9805198 + ... + 9805874.

It is an arithmetic number, because the mean of its divisors is an integer number (74068449).

Almost surely, 2^6638347872 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 6638347872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10665856656).

6638347872 is an abundant number, since it is smaller than the sum of its proper divisors (14693365440).

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

6638347872 is a wasteful number, since it uses less digits than its factorization.

6638347872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 792 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 6638347872 is about 81476.0570474541. The cubic root of 6638347872 is about 1879.4033748858.

The spelling of 6638347872 in words is "six billion, six hundred thirty-eight million, three hundred forty-seven thousand, eight hundred seventy-two".