7924916484 has 81 divisors (see below), whose sum is σ = 20639948511. Its totient is φ = 2563833600.

The previous prime is 7924916479. The next prime is 7924916497. The reversal of 7924916484 is 4846194297.

The square root of 7924916484 is 89022.

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

7924916484 is a `hidden beast` number, since 7 + 92 + 491 + 64 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6546428100 + 1378488384 = 80910^2 + 37128^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 7924916484.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19762684 + ... + 19763084.

Almost surely, 2^7924916484 is an apocalyptic number.

7924916484 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

7924916484 is the 89022-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7924916484

7924916484 is an abundant number, since it is smaller than the sum of its proper divisors (12715032027).

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

7924916484 is a wasteful number, since it uses less digits than its factorization.

7924916484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886 (or 443 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The cubic root of 7924916484 is about 1993.7233628527.

The spelling of 7924916484 in words is "seven billion, nine hundred twenty-four million, nine hundred sixteen thousand, four hundred eighty-four".