8672777568 has 480 divisors, whose sum is σ = 31842429696. Its totient is φ = 2254666752.

The previous prime is 8672777513. The next prime is 8672777573. The reversal of 8672777568 is 8657772768.

8672777568 is a `hidden beast` number, since 8 + 67 + 2 + 7 + 7 + 7 + 568 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

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, 19577155 + ... + 19577597.

Almost surely, 2^8672777568 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 8672777568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921214848).

8672777568 is an abundant number, since it is smaller than the sum of its proper divisors (23169652128).

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

8672777568 is a wasteful number, since it uses less digits than its factorization.

8672777568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 551 counting only the distinct ones).

The product of its digits is 55319040, while the sum is 63.

The square root of 8672777568 is about 93127.7486466842. The cubic root of 8672777568 is about 2054.5627158437.

The spelling of 8672777568 in words is "eight billion, six hundred seventy-two million, seven hundred seventy-seven thousand, five hundred sixty-eight".