7887673728 has 640 divisors, whose sum is σ = 27867248640. Its totient is φ = 2189721600.

The previous prime is 7887673723. The next prime is 7887673763. The reversal of 7887673728 is 8273767887.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7887673723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81316176 + ... + 81316272.

It is an arithmetic number, because the mean of its divisors is an integer number (43542576).

Almost surely, 2^7887673728 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 7887673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13933624320).

7887673728 is an abundant number, since it is smaller than the sum of its proper divisors (19979574912).

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

7887673728 is a wasteful number, since it uses less digits than its factorization.

7887673728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 167 counting only the distinct ones).

The product of its digits is 44255232, while the sum is 63.

The square root of 7887673728 is about 88812.5764067229. The cubic root of 7887673728 is about 1990.5953226742.

The spelling of 7887673728 in words is "seven billion, eight hundred eighty-seven million, six hundred seventy-three thousand, seven hundred twenty-eight".