8461727856 has 100 divisors (see below), whose sum is σ = 24536311272. Its totient is φ = 2815323264.

The previous prime is 8461727821. The next prime is 8461727863. The reversal of 8461727856 is 6587271648.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 723850 + ... + 735446.

Almost surely, 2^8461727856 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 8461727856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12268155636).

8461727856 is an abundant number, since it is smaller than the sum of its proper divisors (16074583416).

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

8461727856 is a wasteful number, since it uses less digits than its factorization.

8461727856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12180 (or 12165 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The square root of 8461727856 is about 91987.6505624532. The cubic root of 8461727856 is about 2037.7599286791.

The spelling of 8461727856 in words is "eight billion, four hundred sixty-one million, seven hundred twenty-seven thousand, eight hundred fifty-six".