7966509642 has 192 divisors, whose sum is σ = 22095790080. Its totient is φ = 2017872000.

The previous prime is 7966509623. The next prime is 7966509647. The reversal of 7966509642 is 2469056697.

7966509642 is a `hidden beast` number, since 7 + 96 + 6 + 509 + 6 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (7966509647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7666959 + ... + 7667997.

It is an arithmetic number, because the mean of its divisors is an integer number (115082240).

Almost surely, 2^7966509642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7966509642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11047895040).

7966509642 is an abundant number, since it is smaller than the sum of its proper divisors (14129280438).

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

7966509642 is a wasteful number, since it uses less digits than its factorization.

7966509642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The square root of 7966509642 is about 89255.3059599260. The cubic root of 7966509642 is about 1997.2052332920.

The spelling of 7966509642 in words is "seven billion, nine hundred sixty-six million, five hundred nine thousand, six hundred forty-two".