8049917568 has 768 divisors, whose sum is σ = 30139776000. Its totient is φ = 1873428480.

The previous prime is 8049917567. The next prime is 8049917569. The reversal of 8049917568 is 8657199408.

It is an interprime number because it is at equal distance from previous prime (8049917567) and next prime (8049917569).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (8049917567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 90448468 + ... + 90448556.

It is an arithmetic number, because the mean of its divisors is an integer number (39244500).

Almost surely, 2^8049917568 is an apocalyptic number.

8049917568 is a gapful number since it is divisible by the number (88) 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 8049917568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15069888000).

8049917568 is an abundant number, since it is smaller than the sum of its proper divisors (22089858432).

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

8049917568 is a wasteful number, since it uses less digits than its factorization.

8049917568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 57.

The square root of 8049917568 is about 89721.3328478796. The cubic root of 8049917568 is about 2004.1511752442.

The spelling of 8049917568 in words is "eight billion, forty-nine million, nine hundred seventeen thousand, five hundred sixty-eight".