7999443648 has 252 divisors, whose sum is σ = 26863407792. Its totient is φ = 2269209600.

The previous prime is 7999443611. The next prime is 7999443649. The reversal of 7999443648 is 8463449997.

7999443648 is a `hidden beast` number, since 79 + 9 + 94 + 436 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7999443649) 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 35 ways as a sum of consecutive naturals, for example, 4260886 + ... + 4262762.

Almost surely, 2^7999443648 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 7999443648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13431703896).

7999443648 is an abundant number, since it is smaller than the sum of its proper divisors (18863964144).

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

7999443648 is a wasteful number, since it uses less digits than its factorization.

7999443648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 2040 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The square root of 7999443648 is about 89439.6089436889. The cubic root of 7999443648 is about 1999.9536362585.

The spelling of 7999443648 in words is "seven billion, nine hundred ninety-nine million, four hundred forty-three thousand, six hundred forty-eight".