7944590450160 has 480 divisors, whose sum is σ = 33144563612160. Its totient is φ = 1660554196992.

The previous prime is 7944590450141. The next prime is 7944590450161. The reversal of 7944590450160 is 610540954497.

7944590450160 is a `hidden beast` number, since 7 + 9 + 4 + 4 + 590 + 45 + 0 + 1 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 7944590450097 and 7944590450106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7944590450161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6444031 + ... + 7577249.

It is an arithmetic number, because the mean of its divisors is an integer number (69051174192).

Almost surely, 2^{7944590450160} is an apocalyptic number.

7944590450160 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 7944590450160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16572281806080).

7944590450160 is an abundant number, since it is smaller than the sum of its proper divisors (25199973162000).

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

7944590450160 is a wasteful number, since it uses less digits than its factorization.

7944590450160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133365 (or 1133356 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 7944590450160 in words is "seven trillion, nine hundred forty-four billion, five hundred ninety million, four hundred fifty thousand, one hundred sixty".