8004951648 has 144 divisors (see below), whose sum is σ = 23929922016. Its totient is φ = 2533386240.

The previous prime is 8004951629. The next prime is 8004951649. The reversal of 8004951648 is 8461594008.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8004951649) 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 23 ways as a sum of consecutive naturals, for example, 903078 + ... + 911898.

It is an arithmetic number, because the mean of its divisors is an integer number (166180014).

Almost surely, 2^8004951648 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 8004951648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11964961008).

8004951648 is an abundant number, since it is smaller than the sum of its proper divisors (15924970368).

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

8004951648 is a wasteful number, since it uses less digits than its factorization.

8004951648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8997 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8004951648 is about 89470.3953718771. The cubic root of 8004951648 is about 2000.4125522278.

The spelling of 8004951648 in words is "eight billion, four million, nine hundred fifty-one thousand, six hundred forty-eight".