8742831552 has 560 divisors, whose sum is σ = 32714744832. Its totient is φ = 2246952960.

The previous prime is 8742831547. The next prime is 8742831557. The reversal of 8742831552 is 2551382478.

8742831552 is a `hidden beast` number, since 8 + 74 + 28 + 3 + 1 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (8742831547) and next prime (8742831557).

It is a junction number, because it is equal to n+sod(n) for n = 8742831498 and 8742831507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8742831557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20284777 + ... + 20285207.

Almost surely, 2^8742831552 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 8742831552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16357372416).

8742831552 is an abundant number, since it is smaller than the sum of its proper divisors (23971913280).

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

8742831552 is a wasteful number, since it uses less digits than its factorization.

8742831552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 499 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 8742831552 is about 93503.1098520258. The cubic root of 8742831552 is about 2060.0797681745.

The spelling of 8742831552 in words is "eight billion, seven hundred forty-two million, eight hundred thirty-one thousand, five hundred fifty-two".