8119232640 has 768 divisors, whose sum is σ = 31998395520. Its totient is φ = 1958805504.

The previous prime is 8119232633. The next prime is 8119232647. The reversal of 8119232640 is 462329118.

8119232640 is a `hidden beast` number, since 8 + 1 + 1 + 9 + 2 + 3 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (8119232633) and next prime (8119232647).

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 = 8119232595 and 8119232604.

It is not an unprimeable number, because it can be changed into a prime (8119232647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97822039 + ... + 97822121.

Almost surely, 2^8119232640 is an apocalyptic number.

8119232640 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 8119232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15999197760).

8119232640 is an abundant number, since it is smaller than the sum of its proper divisors (23879162880).

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

8119232640 is a wasteful number, since it uses less digits than its factorization.

8119232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8119232640 is about 90106.7846502138. The cubic root of 8119232640 is about 2009.8870954625.

The spelling of 8119232640 in words is "eight billion, one hundred nineteen million, two hundred thirty-two thousand, six hundred forty".