8673751656 has 96 divisors (see below), whose sum is σ = 23814292320. Its totient is φ = 2851632000.

The previous prime is 8673751591. The next prime is 8673751673. The reversal of 8673751656 is 6561573768.

8673751656 is a `hidden beast` number, since 8 + 6 + 73 + 7 + 516 + 56 = 666.

8673751656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (6350400) is a multiple of the sum of its prime divisors (2520).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6280086 + ... + 6281466.

It is an arithmetic number, because the mean of its divisors is an integer number (248065545).

Almost surely, 2^8673751656 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 8673751656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11907146160).

8673751656 is an abundant number, since it is smaller than the sum of its proper divisors (15140540664).

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

8673751656 is a wasteful number, since it uses less digits than its factorization.

8673751656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2520 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 54.

The square root of 8673751656 is about 93132.9783481662. The cubic root of 8673751656 is about 2054.6396327618.

The spelling of 8673751656 in words is "eight billion, six hundred seventy-three million, seven hundred fifty-one thousand, six hundred fifty-six".