8564719680 has 1344 divisors, whose sum is σ = 38343352320. Its totient is φ = 1791590400.

The previous prime is 8564719643. The next prime is 8564719693. The reversal of 8564719680 is 869174658.

8564719680 is a `hidden beast` number, since 8 + 5 + 6 + 471 + 96 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 276281265 + ... + 276281295.

It is an arithmetic number, because the mean of its divisors is an integer number (28529280).

Almost surely, 2^8564719680 is an apocalyptic number.

8564719680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8564719680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171676160).

8564719680 is an abundant number, since it is smaller than the sum of its proper divisors (29778632640).

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

8564719680 is a wasteful number, since it uses less digits than its factorization.

8564719680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 8564719680 is about 92545.7707299475. The cubic root of 8564719680 is about 2045.9941348805.

The spelling of 8564719680 in words is "eight billion, five hundred sixty-four million, seven hundred nineteen thousand, six hundred eighty".