7999675943040 has 768 divisors, whose sum is σ = 30378068604000. Its totient is φ = 1931470700544.

The previous prime is 7999675942991. The next prime is 7999675943047. The reversal of 7999675943040 is 403495769997.

7999675943040 is a `hidden beast` number, since 7 + 9 + 99 + 67 + 5 + 9 + 430 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3677834101824 + 4321841841216 = 1917768^2 + 2078904^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 7999675943040.

It is not an unprimeable number, because it can be changed into a prime (7999675943047) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 322438156 + ... + 322462964.

Almost surely, 2^{7999675943040} 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 7999675943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15189034302000).

7999675943040 is an abundant number, since it is smaller than the sum of its proper divisors (22378392660960).

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

7999675943040 is a wasteful number, since it uses less digits than its factorization.

7999675943040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24977 (or 24962 counting only the distinct ones).

The product of its (nonzero) digits is 462944160, while the sum is 72.

The spelling of 7999675943040 in words is "seven trillion, nine hundred ninety-nine billion, six hundred seventy-five million, nine hundred forty-three thousand, forty".