7867327120128 has 432 divisors, whose sum is σ = 26055142713600. Its totient is φ = 2236460212224.

The previous prime is 7867327120109. The next prime is 7867327120181. The reversal of 7867327120128 is 8210217237687.

7867327120128 is a `hidden beast` number, since 7 + 86 + 73 + 271 + 201 + 28 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3748130023 + ... + 3748132121.

Almost surely, 2^{7867327120128} 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 7867327120128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13027571356800).

7867327120128 is an abundant number, since it is smaller than the sum of its proper divisors (18187815593472).

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

7867327120128 is a wasteful number, since it uses less digits than its factorization.

7867327120128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192 (or 3175 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 7867327120128 in words is "seven trillion, eight hundred sixty-seven billion, three hundred twenty-seven million, one hundred twenty thousand, one hundred twenty-eight".