8442645120 has 1152 divisors, whose sum is σ = 38302632000. Its totient is φ = 1751113728.

The previous prime is 8442645103. The next prime is 8442645131. The reversal of 8442645120 is 215462448.

8442645120 is a `hidden beast` number, since 8 + 4 + 4 + 2 + 645 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 143095651 + ... + 143095709.

Almost surely, 2^8442645120 is an apocalyptic number.

8442645120 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 8442645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19151316000).

8442645120 is an abundant number, since it is smaller than the sum of its proper divisors (29859986880).

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

8442645120 is a wasteful number, since it uses less digits than its factorization.

8442645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8442645120 is about 91883.8675720608. The cubic root of 8442645120 is about 2036.2269358993.

The spelling of 8442645120 in words is "eight billion, four hundred forty-two million, six hundred forty-five thousand, one hundred twenty".