8002471680 has 576 divisors, whose sum is σ = 34182220800. Its totient is φ = 1731870720.

The previous prime is 8002471669. The next prime is 8002471723. The reversal of 8002471680 is 861742008.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4595610 + ... + 4597350.

Almost surely, 2^8002471680 is an apocalyptic number.

8002471680 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 8002471680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17091110400).

8002471680 is an abundant number, since it is smaller than the sum of its proper divisors (26179749120).

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

8002471680 is a wasteful number, since it uses less digits than its factorization.

8002471680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 8002471680 is about 89456.5351441693. The cubic root of 8002471680 is about 2000.2059521245.

The spelling of 8002471680 in words is "eight billion, two million, four hundred seventy-one thousand, six hundred eighty".