7967824625 has 16 divisors (see below), whose sum is σ = 10112394240. Its totient is φ = 6266215600.

The previous prime is 7967824603. The next prime is 7967824649. The reversal of 7967824625 is 5264287697.

It is not a de Polignac number, because 7967824625 - 2⁶ = 7967824561 is a prime.

It is a super-3 number, since 3×7967824625³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532817 + ... + 547566.

It is an arithmetic number, because the mean of its divisors is an integer number (632024640).

Almost surely, 2^7967824625 is an apocalyptic number.

It is an amenable number.

7967824625 is a deficient number, since it is larger than the sum of its proper divisors (2144569615).

7967824625 is a wasteful number, since it uses less digits than its factorization.

7967824625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080457 (or 1080447 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 56.

The square root of 7967824625 is about 89262.6720695723. The cubic root of 7967824625 is about 1997.3151160620.

The spelling of 7967824625 in words is "seven billion, nine hundred sixty-seven million, eight hundred twenty-four thousand, six hundred twenty-five".