7887112484160 has 672 divisors, whose sum is σ = 31989563891712. Its totient is φ = 1610406420480.

The previous prime is 7887112484149. The next prime is 7887112484161. The reversal of 7887112484160 is 614842117887.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a self number, because there is not a number n which added to its sum of digits gives 7887112484160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7887112484161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35094067 + ... + 35318093.

It is an arithmetic number, because the mean of its divisors is an integer number (47603517696).

Almost surely, 2^{7887112484160} is an apocalyptic number.

7887112484160 is a gapful number since it is divisible by the number (70) 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 7887112484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15994781945856).

7887112484160 is an abundant number, since it is smaller than the sum of its proper divisors (24102451407552).

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

7887112484160 is a wasteful number, since it uses less digits than its factorization.

7887112484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224111 (or 224088 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 57.

The spelling of 7887112484160 in words is "seven trillion, eight hundred eighty-seven billion, one hundred twelve million, four hundred eighty-four thousand, one hundred sixty".