8480848000 has 256 divisors, whose sum is σ = 21936601440. Its totient is φ = 3258777600.

The previous prime is 8480847979. The next prime is 8480848027. The reversal of 8480848000 is 8480848.

It can be written as a sum of positive squares in 16 ways, for example, as 3594816 + 8477253184 = 1896^2 + 92072^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61903932 + ... + 61904068.

Almost surely, 2^8480848000 is an apocalyptic number.

8480848000 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 8480848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10968300720).

8480848000 is an abundant number, since it is smaller than the sum of its proper divisors (13455753440).

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

8480848000 is a wasteful number, since it uses less digits than its factorization.

8480848000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 40.

The square root of 8480848000 is about 92091.5196964411. The cubic root of 8480848000 is about 2039.2936167669.

8480848000 divided by its reverse (8480848) gives a cube (1000 = 10³).

It can be divided in two parts, 8480 and 848000, that multiplied together give a square (7191040000 = 84800²).

The spelling of 8480848000 in words is "eight billion, four hundred eighty million, eight hundred forty-eight thousand".