8671506480 has 960 divisors, whose sum is σ = 38076729600. Its totient is φ = 1755758592.

The previous prime is 8671506479. The next prime is 8671506491. The reversal of 8671506480 is 846051768.

It is a happy number.

8671506480 is a `hidden beast` number, since 8 + 67 + 1 + 506 + 4 + 80 = 666.

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 191 ways as a sum of consecutive naturals, for example, 118787724 + ... + 118787796.

It is an arithmetic number, because the mean of its divisors is an integer number (39663260).

Almost surely, 2^8671506480 is an apocalyptic number.

8671506480 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 8671506480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19038364800).

8671506480 is an abundant number, since it is smaller than the sum of its proper divisors (29405223120).

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

8671506480 is a wasteful number, since it uses less digits than its factorization.

8671506480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 8671506480 is about 93120.9239644882. The cubic root of 8671506480 is about 2054.4623382509.

The spelling of 8671506480 in words is "eight billion, six hundred seventy-one million, five hundred six thousand, four hundred eighty".