8048355840 has 360 divisors, whose sum is σ = 32429079540. Its totient is φ = 1839366144.

The previous prime is 8048355829. The next prime is 8048355893. The reversal of 8048355840 is 485538408.

8048355840 is a `hidden beast` number, since 80 + 483 + 5 + 58 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8048242944 + 112896 = 89712^2 + 336^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1125396 + ... + 1132524.

Almost surely, 2^8048355840 is an apocalyptic number.

8048355840 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 8048355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16214539770).

8048355840 is an abundant number, since it is smaller than the sum of its proper divisors (24380723700).

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

8048355840 is a wasteful number, since it uses less digits than its factorization.

8048355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7172 (or 7146 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 8048355840 is about 89712.6292112766. The cubic root of 8048355840 is about 2004.0215614351.

The spelling of 8048355840 in words is "eight billion, forty-eight million, three hundred fifty-five thousand, eight hundred forty".