7971684868480 has 128 divisors (see below), whose sum is σ = 19716389431200. Its totient is φ = 3078418022400.

The previous prime is 7971684868409. The next prime is 7971684868489. The reversal of 7971684868480 is 848684861797.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 7971684868397 and 7971684868406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7971684868489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322950219 + ... + 322974901.

Almost surely, 2^{7971684868480} 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 7971684868480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9858194715600).

7971684868480 is an abundant number, since it is smaller than the sum of its proper divisors (11744704562720).

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

7971684868480 is a wasteful number, since it uses less digits than its factorization.

7971684868480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42132 (or 42120 counting only the distinct ones).

The product of its (nonzero) digits is 1040449536, while the sum is 76.

The spelling of 7971684868480 in words is "seven trillion, nine hundred seventy-one billion, six hundred eighty-four million, eight hundred sixty-eight thousand, four hundred eighty".