8378719560 has 192 divisors, whose sum is σ = 29439633600. Its totient is φ = 2059458048.

The previous prime is 8378719553. The next prime is 8378719561. The reversal of 8378719560 is 659178738.

8378719560 is a `hidden beast` number, since 8 + 3 + 7 + 8 + 71 + 9 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8378719497 and 8378719506.

It is not an unprimeable number, because it can be changed into a prime (8378719561) 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 47 ways as a sum of consecutive naturals, for example, 236527 + ... + 269633.

It is an arithmetic number, because the mean of its divisors is an integer number (153331425).

Almost surely, 2^8378719560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8378719560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14719816800).

8378719560 is an abundant number, since it is smaller than the sum of its proper divisors (21060914040).

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

8378719560 is a wasteful number, since it uses less digits than its factorization.

8378719560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33180 (or 33173 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The square root of 8378719560 is about 91535.3459599077. The cubic root of 8378719560 is about 2031.0746459623.

The spelling of 8378719560 in words is "eight billion, three hundred seventy-eight million, seven hundred nineteen thousand, five hundred sixty".