7817743872 has 120 divisors (see below), whose sum is σ = 23043230496. Its totient is φ = 2550398976.

The previous prime is 7817743859. The next prime is 7817743877. The reversal of 7817743872 is 2783477187.

7817743872 is a `hidden beast` number, since 78 + 1 + 77 + 438 + 72 = 666.

It is a super-3 number, since 3×7817743872³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7817743877) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 198528 + ... + 234624.

Almost surely, 2^7817743872 is an apocalyptic number.

7817743872 is a gapful number since it is divisible by the number (72) 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 7817743872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11521615248).

7817743872 is an abundant number, since it is smaller than the sum of its proper divisors (15225486624).

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

7817743872 is a wasteful number, since it uses less digits than its factorization.

7817743872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36168 (or 36149 counting only the distinct ones).

The product of its digits is 3687936, while the sum is 54.

The square root of 7817743872 is about 88418.0064918906. The cubic root of 7817743872 is about 1984.6951691573.

It can be divided in two parts, 7817 and 743872, that added together give a square (751689 = 867²).

The spelling of 7817743872 in words is "seven billion, eight hundred seventeen million, seven hundred forty-three thousand, eight hundred seventy-two".