8445104640 has 240 divisors, whose sum is σ = 33426664128. Its totient is φ = 1930272768.

The previous prime is 8445104617. The next prime is 8445104749. The reversal of 8445104640 is 464015448.

It is a happy number.

8445104640 is a `hidden beast` number, since 8 + 4 + 4 + 5 + 1 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 8445104595 and 8445104604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135099 + ... + 187461.

Almost surely, 2^8445104640 is an apocalyptic number.

8445104640 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 8445104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713332064).

8445104640 is an abundant number, since it is smaller than the sum of its proper divisors (24981559488).

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

8445104640 is a wasteful number, since it uses less digits than its factorization.

8445104640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52399 (or 52380 counting only the distinct ones).

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

The square root of 8445104640 is about 91897.2504485308. The cubic root of 8445104640 is about 2036.4246486049.

The spelling of 8445104640 in words is "eight billion, four hundred forty-five million, one hundred four thousand, six hundred forty".