7824857964 has 48 divisors (see below), whose sum is σ = 22763225856. Its totient is φ = 2032430400.

The previous prime is 7824857959. The next prime is 7824857993. The reversal of 7824857964 is 4697584287.

It is a happy number.

It is a super-2 number, since 2×7824857964² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7824857898 and 7824857907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4233307 + ... + 4235154.

It is an arithmetic number, because the mean of its divisors is an integer number (474233872).

Almost surely, 2^7824857964 is an apocalyptic number.

It is an amenable number.

7824857964 is an abundant number, since it is smaller than the sum of its proper divisors (14938367892).

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

7824857964 is a wasteful number, since it uses less digits than its factorization.

7824857964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8468486 (or 8468484 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 60.

The square root of 7824857964 is about 88458.2272261885. The cubic root of 7824857964 is about 1985.2970061919.

The spelling of 7824857964 in words is "seven billion, eight hundred twenty-four million, eight hundred fifty-seven thousand, nine hundred sixty-four".