8623448064 has 672 divisors, whose sum is σ = 32713574400. Its totient is φ = 2167603200.

The previous prime is 8623448063. The next prime is 8623448069. The reversal of 8623448064 is 4608443268.

8623448064 is a `hidden beast` number, since 86 + 2 + 34 + 480 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8623448063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 278175729 + ... + 278175759.

Almost surely, 2^8623448064 is an apocalyptic number.

8623448064 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 8623448064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16356787200).

8623448064 is an abundant number, since it is smaller than the sum of its proper divisors (24090126336).

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

8623448064 is a wasteful number, since it uses less digits than its factorization.

8623448064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The square root of 8623448064 is about 92862.5223865904. The cubic root of 8623448064 is about 2050.6599551962.

The spelling of 8623448064 in words is "eight billion, six hundred twenty-three million, four hundred forty-eight thousand, sixty-four".