7981910845920 has 1152 divisors, whose sum is σ = 31088888183808. Its totient is φ = 1847726899200.

The previous prime is 7981910845889. The next prime is 7981910845963. The reversal of 7981910845920 is 295480191897.

7981910845920 is a `hidden beast` number, since 7 + 98 + 1 + 91 + 0 + 8 + 459 + 2 + 0 = 666.

It is a congruent number.

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, 18017857219 + ... + 18017857661.

It is an arithmetic number, because the mean of its divisors is an integer number (26986882104).

Almost surely, 2^{7981910845920} 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 7981910845920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15544444091904).

7981910845920 is an abundant number, since it is smaller than the sum of its proper divisors (23106977337888).

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

7981910845920 is a wasteful number, since it uses less digits than its factorization.

7981910845920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1005 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 7981910845920 in words is "seven trillion, nine hundred eighty-one billion, nine hundred ten million, eight hundred forty-five thousand, nine hundred twenty".