7948116518940 has 864 divisors, whose sum is σ = 28138123802880. Its totient is φ = 1808598564864.

The previous prime is 7948116518939. The next prime is 7948116518963. The reversal of 7948116518940 is 498156118497.

7948116518940 is a `hidden beast` number, since 7 + 9 + 481 + 1 + 65 + 1 + 8 + 94 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 10499493042 + ... + 10499493798.

It is an arithmetic number, because the mean of its divisors is an integer number (32567272920).

Almost surely, 2^{7948116518940} 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 7948116518940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14069061901440).

7948116518940 is an abundant number, since it is smaller than the sum of its proper divisors (20190007283940).

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

7948116518940 is a wasteful number, since it uses less digits than its factorization.

7948116518940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 7948116518940 in words is "seven trillion, nine hundred forty-eight billion, one hundred sixteen million, five hundred eighteen thousand, nine hundred forty".