8003420568 has 512 divisors, whose sum is σ = 27578880000. Its totient is φ = 2117560320.

The previous prime is 8003420549. The next prime is 8003420569. The reversal of 8003420568 is 8650243008.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8003420569) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53714158 + ... + 53714306.

It is an arithmetic number, because the mean of its divisors is an integer number (53865000).

Almost surely, 2^8003420568 is an apocalyptic number.

8003420568 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 8003420568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13789440000).

8003420568 is an abundant number, since it is smaller than the sum of its proper divisors (19575459432).

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

8003420568 is a wasteful number, since it uses less digits than its factorization.

8003420568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 8003420568 is about 89461.8386128968. The cubic root of 8003420568 is about 2000.2850067170.

The spelling of 8003420568 in words is "eight billion, three million, four hundred twenty thousand, five hundred sixty-eight".