8742805632 has 576 divisors, whose sum is σ = 30220706880. Its totient is φ = 2509056000.

The previous prime is 8742805583. The next prime is 8742805639. The reversal of 8742805632 is 2365082478.

8742805632 is a `hidden beast` number, since 8 + 7 + 4 + 2 + 8 + 0 + 5 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (8742805639) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 86562382 + ... + 86562482.

It is an arithmetic number, because the mean of its divisors is an integer number (52466505).

Almost surely, 2^8742805632 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 8742805632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15110353440).

8742805632 is an abundant number, since it is smaller than the sum of its proper divisors (21477901248).

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

8742805632 is a wasteful number, since it uses less digits than its factorization.

8742805632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 8742805632 is about 93502.9712469074. The cubic root of 8742805632 is about 2060.0777323230.

The spelling of 8742805632 in words is "eight billion, seven hundred forty-two million, eight hundred five thousand, six hundred thirty-two".