7824994681 has 9 divisors (see below), whose sum is σ = 9103265199. Its totient is φ = 6706607544.

The previous prime is 7824994663. The next prime is 7824994717. The reversal of 7824994681 is 1864994287.

The square root of 7824994681 is 88459.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 754875625 + 7070119056 = 27475^2 + 84084^2 .

It is not a de Polignac number, because 7824994681 - 2⁹ = 7824994169 is a prime.

It is a super-2 number, since 2×7824994681² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7824994601) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 612895 + ... + 625531.

It is an arithmetic number, because the mean of its divisors is an integer number (1011473911).

Almost surely, 2^7824994681 is an apocalyptic number.

7824994681 is the 88459-th square number.

7824994681 is the 44230-th centered octagonal number.

It is an amenable number.

7824994681 is a deficient number, since it is larger than the sum of its proper divisors (1278270518).

7824994681 is an frugal number, since it uses more digits than its factorization.

7824994681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25288 (or 12644 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 58.

The cubic root of 7824994681 is about 1985.3085685858.

The spelling of 7824994681 in words is "seven billion, eight hundred twenty-four million, nine hundred ninety-four thousand, six hundred eighty-one".