8049616000 has 128 divisors (see below), whose sum is σ = 21067488000. Its totient is φ = 3050265600.

The previous prime is 8049615997. The next prime is 8049616009. The reversal of 8049616000 is 6169408.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (8049616009) 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 15 ways as a sum of consecutive naturals, for example, 290761 + ... + 317239.

It is an arithmetic number, because the mean of its divisors is an integer number (164589750).

Almost surely, 2^8049616000 is an apocalyptic number.

8049616000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8049616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10533744000).

8049616000 is an abundant number, since it is smaller than the sum of its proper divisors (13017872000).

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

8049616000 is a wasteful number, since it uses less digits than its factorization.

8049616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26527 (or 26505 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 8049616000 is about 89719.6522507750. The cubic root of 8049616000 is about 2004.1261482629.

The spelling of 8049616000 in words is "eight billion, forty-nine million, six hundred sixteen thousand".