7981436069760 has 512 divisors, whose sum is σ = 27208568217600. Its totient is φ = 1986449375232.

The previous prime is 7981436069759. The next prime is 7981436069773. The reversal of 7981436069760 is 679606341897.

It is a junction number, because it is equal to n+sod(n) for n = 7981436069691 and 7981436069700.

It is a congruent number.

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, 232224097 + ... + 232258463.

It is an arithmetic number, because the mean of its divisors is an integer number (53141734800).

Almost surely, 2^{7981436069760} 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 7981436069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604284108800).

7981436069760 is an abundant number, since it is smaller than the sum of its proper divisors (19227132147840).

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

7981436069760 is a wasteful number, since it uses less digits than its factorization.

7981436069760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34558 (or 34546 counting only the distinct ones).

The product of its (nonzero) digits is 82301184, while the sum is 66.

The spelling of 7981436069760 in words is "seven trillion, nine hundred eighty-one billion, four hundred thirty-six million, sixty-nine thousand, seven hundred sixty".