7968872411136 has 624 divisors, whose sum is σ = 28606601726976. Its totient is φ = 2081185726464.

The previous prime is 7968872411117. The next prime is 7968872411173. The reversal of 7968872411136 is 6311142788697.

7968872411136 is a `hidden beast` number, since 7 + 9 + 6 + 8 + 87 + 2 + 411 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 345514741 + ... + 345537803.

It is an arithmetic number, because the mean of its divisors is an integer number (45843913024).

Almost surely, 2^{7968872411136} 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 7968872411136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14303300863488).

7968872411136 is an abundant number, since it is smaller than the sum of its proper divisors (20637729315840).

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

7968872411136 is a wasteful number, since it uses less digits than its factorization.

7968872411136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23216 (or 23191 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

It can be divided in two parts, 796887 and 2411136, that added together give a palindrome (3208023).

The spelling of 7968872411136 in words is "seven trillion, nine hundred sixty-eight billion, eight hundred seventy-two million, four hundred eleven thousand, one hundred thirty-six".