7879224736 has 48 divisors (see below), whose sum is σ = 16481097864. Its totient is φ = 3695140864.

The previous prime is 7879224677. The next prime is 7879224739. The reversal of 7879224736 is 6374229787.

It can be written as a sum of positive squares in 4 ways, for example, as 7771480336 + 107744400 = 88156^2 + 10380^2 .

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (7879224739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134676 + ... + 184108.

Almost surely, 2^7879224736 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 7879224736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8240548932).

7879224736 is an abundant number, since it is smaller than the sum of its proper divisors (8601873128).

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

7879224736 is a wasteful number, since it uses less digits than its factorization.

7879224736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49753 (or 49745 counting only the distinct ones).

The product of its digits is 7112448, while the sum is 55.

The square root of 7879224736 is about 88764.9972455359. The cubic root of 7879224736 is about 1989.8843174085.

The spelling of 7879224736 in words is "seven billion, eight hundred seventy-nine million, two hundred twenty-four thousand, seven hundred thirty-six".