7985601675 has 240 divisors, whose sum is σ = 17095557600. Its totient is φ = 3657830400.

The previous prime is 7985601661. The next prime is 7985601697. The reversal of 7985601675 is 5761065897.

7985601675 is a `hidden beast` number, since 7 + 9 + 8 + 560 + 1 + 6 + 75 = 666.

7985601675 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7985601675 - 2¹² = 7985597579 is a prime.

It is a super-2 number, since 2×7985601675² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18967965 + ... + 18968385.

It is an arithmetic number, because the mean of its divisors is an integer number (71231490).

Almost surely, 2^7985601675 is an apocalyptic number.

7985601675 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7985601675 is an abundant number, since it is smaller than the sum of its proper divisors (9109955925).

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

7985601675 is a wasteful number, since it uses less digits than its factorization.

7985601675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The square root of 7985601675 is about 89362.1937678345. The cubic root of 7985601675 is about 1998.7994190302.

It can be divided in two parts, 7985601 and 675, that added together give a square (7986276 = 2826²).

The spelling of 7985601675 in words is "seven billion, nine hundred eighty-five million, six hundred one thousand, six hundred seventy-five".