8523624672 has 144 divisors (see below), whose sum is σ = 24707356128. Its totient is φ = 2786595840.

The previous prime is 8523624667. The next prime is 8523624673. The reversal of 8523624672 is 2764263258.

8523624672 is a `hidden beast` number, since 8 + 523 + 62 + 4 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8523624673) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11471533 + ... + 11472275.

It is an arithmetic number, because the mean of its divisors is an integer number (171578862).

Almost surely, 2^8523624672 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 8523624672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12353678064).

8523624672 is an abundant number, since it is smaller than the sum of its proper divisors (16183731456).

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

8523624672 is a wasteful number, since it uses less digits than its factorization.

8523624672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1462 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 8523624672 is about 92323.4784440014. The cubic root of 8523624672 is about 2042.7165424183.

The spelling of 8523624672 in words is "eight billion, five hundred twenty-three million, six hundred twenty-four thousand, six hundred seventy-two".