8442814464 has 672 divisors, whose sum is σ = 31376721600. Its totient is φ = 2229534720.

The previous prime is 8442814463. The next prime is 8442814477. The reversal of 8442814464 is 4644182448.

8442814464 is a `hidden beast` number, since 8 + 442 + 8 + 144 + 64 = 666.

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

It is a super-2 number, since 2×8442814464² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8442814463) 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, 205922284 + ... + 205922324.

It is an arithmetic number, because the mean of its divisors is an integer number (46691550).

Almost surely, 2^8442814464 is an apocalyptic number.

8442814464 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 8442814464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15688360800).

8442814464 is an abundant number, since it is smaller than the sum of its proper divisors (22933907136).

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

8442814464 is a wasteful number, since it uses less digits than its factorization.

8442814464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 72 counting only the distinct ones).

The product of its digits is 786432, while the sum is 45.

The square root of 8442814464 is about 91884.7890784976. The cubic root of 8442814464 is about 2036.2405501361.

The spelling of 8442814464 in words is "eight billion, four hundred forty-two million, eight hundred fourteen thousand, four hundred sixty-four".