8071488000 has 560 divisors, whose sum is σ = 30350765016. Its totient is φ = 2139955200.

The previous prime is 8071487947. The next prime is 8071488067. The reversal of 8071488000 is 8841708.

It can be written as a sum of positive squares in 4 ways, for example, as 4255213824 + 3816274176 = 65232^2 + 61776^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 46655914 + ... + 46656086.

Almost surely, 2^8071488000 is an apocalyptic number.

8071488000 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 8071488000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15175382508).

8071488000 is an abundant number, since it is smaller than the sum of its proper divisors (22279277016).

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

8071488000 is an frugal number, since it uses more digits than its factorization.

8071488000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 8071488000 is about 89841.4603621290. The cubic root of 8071488000 is about 2005.9396759953.

The spelling of 8071488000 in words is "eight billion, seventy-one million, four hundred eighty-eight thousand".