8172608048640 has 1440 divisors, whose sum is σ = 35013581665920. Its totient is φ = 1750498541568.

The previous prime is 8172608048593. The next prime is 8172608048651. The reversal of 8172608048640 is 468408062718.

8172608048640 is a `hidden beast` number, since 81 + 7 + 2 + 6 + 0 + 80 + 486 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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, 5162733289 + ... + 5162734871.

It is an arithmetic number, because the mean of its divisors is an integer number (24314987268).

Almost surely, 2^{8172608048640} is an apocalyptic number.

8172608048640 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 8172608048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17506790832960).

8172608048640 is an abundant number, since it is smaller than the sum of its proper divisors (26840973617280).

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

8172608048640 is a wasteful number, since it uses less digits than its factorization.

8172608048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1912 (or 1886 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 8172608048640 in words is "eight trillion, one hundred seventy-two billion, six hundred eight million, forty-eight thousand, six hundred forty".