7824642125 has 32 divisors (see below), whose sum is σ = 9839591424. Its totient is φ = 6212236800.

The previous prime is 7824642053. The next prime is 7824642169. The reversal of 7824642125 is 5212464287.

It is a happy number.

It is not a de Polignac number, because 7824642125 - 2²⁰ = 7823593549 is a prime.

It is a super-2 number, since 2×7824642125² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16899644 + ... + 16900106.

It is an arithmetic number, because the mean of its divisors is an integer number (307487232).

Almost surely, 2^7824642125 is an apocalyptic number.

It is an amenable number.

7824642125 is a deficient number, since it is larger than the sum of its proper divisors (2014949299).

7824642125 is a wasteful number, since it uses less digits than its factorization.

7824642125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1214 (or 1204 counting only the distinct ones).

The product of its digits is 215040, while the sum is 41.

The square root of 7824642125 is about 88457.0072125437. The cubic root of 7824642125 is about 1985.2787520390.

The spelling of 7824642125 in words is "seven billion, eight hundred twenty-four million, six hundred forty-two thousand, one hundred twenty-five".