7924409856 has 240 divisors, whose sum is σ = 25166389248. Its totient is φ = 2380492800.

The previous prime is 7924409821. The next prime is 7924409861. The reversal of 7924409856 is 6589044297.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 6436761 + ... + 6437991.

Almost surely, 2^7924409856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7924409856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12583194624).

7924409856 is an abundant number, since it is smaller than the sum of its proper divisors (17241979392).

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

7924409856 is a wasteful number, since it uses less digits than its factorization.

7924409856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1393 (or 1374 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 7924409856 is about 89019.1544331893. The cubic root of 7924409856 is about 1993.6808767013.

The spelling of 7924409856 in words is "seven billion, nine hundred twenty-four million, four hundred nine thousand, eight hundred fifty-six".