8545277664 has 576 divisors, whose sum is σ = 33795740160. Its totient is φ = 1977384960.

The previous prime is 8545277651. The next prime is 8545277717. The reversal of 8545277664 is 4667725458.

It is a happy number.

8545277664 is a `hidden beast` number, since 8 + 54 + 527 + 7 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 8545277664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7162252 + ... + 7163444.

It is an arithmetic number, because the mean of its divisors is an integer number (58673160).

Almost surely, 2^8545277664 is an apocalyptic number.

8545277664 is a gapful number since it is divisible by the number (84) 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 8545277664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16897870080).

8545277664 is an abundant number, since it is smaller than the sum of its proper divisors (25250462496).

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

8545277664 is a wasteful number, since it uses less digits than its factorization.

8545277664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1252 counting only the distinct ones).

The product of its digits is 11289600, while the sum is 54.

The square root of 8545277664 is about 92440.6710490572. The cubic root of 8545277664 is about 2044.4448182559. Note that the first 3 decimals are identical.

The spelling of 8545277664 in words is "eight billion, five hundred forty-five million, two hundred seventy-seven thousand, six hundred sixty-four".