8480071488 has 224 divisors, whose sum is σ = 27323735040. Its totient is φ = 2267136000.

The previous prime is 8480071463. The next prime is 8480071519. The reversal of 8480071488 is 8841700848.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×8480071488² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 2117488 + ... + 2121488.

It is an arithmetic number, because the mean of its divisors is an integer number (121980960).

Almost surely, 2^8480071488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8480071488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13661867520).

8480071488 is an abundant number, since it is smaller than the sum of its proper divisors (18843663552).

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

8480071488 is a wasteful number, since it uses less digits than its factorization.

8480071488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4115 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 48.

The square root of 8480071488 is about 92087.3036199888. The cubic root of 8480071488 is about 2039.2313751806.

The spelling of 8480071488 in words is "eight billion, four hundred eighty million, seventy-one thousand, four hundred eighty-eight".