8545934880 has 288 divisors, whose sum is σ = 33801401088. Its totient is φ = 1925683200.

The previous prime is 8545934879. The next prime is 8545934933. The reversal of 8545934880 is 884395458.

8545934880 is a `hidden beast` number, since 8 + 5 + 4 + 593 + 48 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8545934880² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 709710 + ... + 721650.

It is an arithmetic number, because the mean of its divisors is an integer number (117365976).

Almost surely, 2^8545934880 is an apocalyptic number.

8545934880 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 8545934880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16900700544).

8545934880 is an abundant number, since it is smaller than the sum of its proper divisors (25255466208).

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

8545934880 is a wasteful number, since it uses less digits than its factorization.

8545934880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12040 (or 12029 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The square root of 8545934880 is about 92444.2257796559. The cubic root of 8545934880 is about 2044.4972295585.

The spelling of 8545934880 in words is "eight billion, five hundred forty-five million, nine hundred thirty-four thousand, eight hundred eighty".