8752674672 has 800 divisors, whose sum is σ = 33704985600. Its totient is φ = 2131992576.

The previous prime is 8752674659. The next prime is 8752674673. The reversal of 8752674672 is 2764762578.

8752674672 is a `hidden beast` number, since 8 + 7 + 526 + 7 + 46 + 72 = 666.

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

Its product of digits (7902720) is a multiple of the sum of its prime divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8752674673) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 84977373 + ... + 84977475.

It is an arithmetic number, because the mean of its divisors is an integer number (42131232).

Almost surely, 2^8752674672 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 8752674672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16852492800).

8752674672 is an abundant number, since it is smaller than the sum of its proper divisors (24952310928).

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

8752674672 is a wasteful number, since it uses less digits than its factorization.

8752674672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 180 counting only the distinct ones).

The product of its digits is 7902720, while the sum is 54.

The square root of 8752674672 is about 93555.7303001799. The cubic root of 8752674672 is about 2060.8525920646.

The spelling of 8752674672 in words is "eight billion, seven hundred fifty-two million, six hundred seventy-four thousand, six hundred seventy-two".