7981434178560 has 704 divisors, whose sum is σ = 29118362112000. Its totient is φ = 2072294129664.

The previous prime is 7981434178507. The next prime is 7981434178579. The reversal of 7981434178560 is 658714341897.

7981434178560 is a `hidden beast` number, since 7 + 9 + 81 + 4 + 3 + 417 + 85 + 60 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1292955634 + ... + 1292961806.

Almost surely, 2^{7981434178560} 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 7981434178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14559181056000).

7981434178560 is an abundant number, since it is smaller than the sum of its proper divisors (21136927933440).

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

7981434178560 is a wasteful number, since it uses less digits than its factorization.

7981434178560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6453 (or 6429 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 7981434178560 in words is "seven trillion, nine hundred eighty-one billion, four hundred thirty-four million, one hundred seventy-eight thousand, five hundred sixty".