7969578880000 has 440 divisors, whose sum is σ = 21119814745920. Its totient is φ = 2996398080000.

The previous prime is 7969578879959. The next prime is 7969578880007. The reversal of 7969578880000 is 888759697.

It is a junction number, because it is equal to n+sod(n) for n = 7969578879899 and 7969578879908.

It is not an unprimeable number, because it can be changed into a prime (7969578880007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1592957499 + ... + 1592962501.

It is an arithmetic number, because the mean of its divisors is an integer number (47999578968).

Almost surely, 2^{7969578880000} 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 7969578880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10559907372960).

7969578880000 is an abundant number, since it is smaller than the sum of its proper divisors (13150235865920).

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

7969578880000 is a wasteful number, since it uses less digits than its factorization.

7969578880000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5193 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 67.

The spelling of 7969578880000 in words is "seven trillion, nine hundred sixty-nine billion, five hundred seventy-eight million, eight hundred eighty thousand".