8020648000 has 112 divisors (see below), whose sum is σ = 19904165424. Its totient is φ = 3201638400.

The previous prime is 8020647997. The next prime is 8020648003. The reversal of 8020648000 is 8460208.

It is an interprime number because it is at equal distance from previous prime (8020647997) and next prime (8020648003).

It can be written as a sum of positive squares in 8 ways, for example, as 1882865664 + 6137782336 = 43392^2 + 78344^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 8020648000.

It is not an unprimeable number, because it can be changed into a prime (8020648003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6183352 + ... + 6184648.

Almost surely, 2^8020648000 is an apocalyptic number.

8020648000 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 8020648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9952082712).

8020648000 is an abundant number, since it is smaller than the sum of its proper divisors (11883517424).

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

8020648000 is a wasteful number, since it uses less digits than its factorization.

8020648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2077 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 8020648000 is about 89558.0705464337. The cubic root of 8020648000 is about 2001.7191884388.

The spelling of 8020648000 in words is "eight billion, twenty million, six hundred forty-eight thousand".