7868011605120 has 384 divisors, whose sum is σ = 27469280217600. Its totient is φ = 2075087462400.

The previous prime is 7868011605119. The next prime is 7868011605127. The reversal of 7868011605120 is 215061108687.

7868011605120 is a `hidden beast` number, since 7 + 8 + 6 + 8 + 0 + 11 + 605 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (7868011605127) 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 47 ways as a sum of consecutive naturals, for example, 199155289 + ... + 199194791.

It is an arithmetic number, because the mean of its divisors is an integer number (71534583900).

Almost surely, 2^{7868011605120} 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 7868011605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13734640108800).

7868011605120 is an abundant number, since it is smaller than the sum of its proper divisors (19601268612480).

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

7868011605120 is a wasteful number, since it uses less digits than its factorization.

7868011605120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39908 (or 39893 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 7868011605120 in words is "seven trillion, eight hundred sixty-eight billion, eleven million, six hundred five thousand, one hundred twenty".