8418271680 has 1120 divisors, whose sum is σ = 38167202304. Its totient is φ = 1713954816.

The previous prime is 8418271663. The next prime is 8418271691. The reversal of 8418271680 is 861728148.

It is a tau number, because it is divible by the number of its divisors (1120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 101424919 + ... + 101425001.

Almost surely, 2^8418271680 is an apocalyptic number.

8418271680 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 8418271680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19083601152).

8418271680 is an abundant number, since it is smaller than the sum of its proper divisors (29748930624).

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

8418271680 is a wasteful number, since it uses less digits than its factorization.

8418271680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 8418271680 is about 91751.1399384226. The cubic root of 8418271680 is about 2034.2655564730.

The spelling of 8418271680 in words is "eight billion, four hundred eighteen million, two hundred seventy-one thousand, six hundred eighty".