7981565813760 has 2112 divisors, whose sum is σ = 33833669124096. Its totient is φ = 1586272665600.

The previous prime is 7981565813687. The next prime is 7981565813827. The reversal of 7981565813760 is 673185651897.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 7981565813691 and 7981565813700.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 35161082767 + ... + 35161082993.

Almost surely, 2^{7981565813760} is an apocalyptic number.

7981565813760 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7981565813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16916834562048).

7981565813760 is an abundant number, since it is smaller than the sum of its proper divisors (25852103310336).

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

7981565813760 is a wasteful number, since it uses less digits than its factorization.

7981565813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 66.

The spelling of 7981565813760 in words is "seven trillion, nine hundred eighty-one billion, five hundred sixty-five million, eight hundred thirteen thousand, seven hundred sixty".