8445036464640 has 640 divisors, whose sum is σ = 30546852019200. Its totient is φ = 2238735532032.

The previous prime is 8445036464639. The next prime is 8445036464647. The reversal of 8445036464640 is 464646305448.

8445036464640 is a `hidden beast` number, since 8 + 44 + 50 + 36 + 464 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8445036464647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 968574201 + ... + 968582919.

It is an arithmetic number, because the mean of its divisors is an integer number (47729456280).

Almost surely, 2^{8445036464640} is an apocalyptic number.

8445036464640 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 8445036464640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15273426009600).

8445036464640 is an abundant number, since it is smaller than the sum of its proper divisors (22101815554560).

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

8445036464640 is an frugal number, since it uses more digits than its factorization.

8445036464640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8936 (or 8902 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 54.

The spelling of 8445036464640 in words is "eight trillion, four hundred forty-five billion, thirty-six million, four hundred sixty-four thousand, six hundred forty".