8119313640 has 160 divisors (see below), whose sum is σ = 27955980360. Its totient is φ = 2112307200.

The previous prime is 8119313597. The next prime is 8119313659. The reversal of 8119313640 is 463139118.

8119313640 is a `hidden beast` number, since 8 + 1 + 1 + 9 + 3 + 1 + 3 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1815271236 + 6304042404 = 42606^2 + 79398^2 .

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 = 8119313595 and 8119313604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 102280 + ... + 163400.

Almost surely, 2^8119313640 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 8119313640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13977990180).

8119313640 is an abundant number, since it is smaller than the sum of its proper divisors (19836666720).

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

8119313640 is a wasteful number, since it uses less digits than its factorization.

8119313640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61185 (or 61172 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 8119313640 is about 90107.2341158023. The cubic root of 8119313640 is about 2009.8937791940.

The spelling of 8119313640 in words is "eight billion, one hundred nineteen million, three hundred thirteen thousand, six hundred forty".