8193104640 has 864 divisors, whose sum is σ = 34712810496. Its totient is φ = 1811496960.

The previous prime is 8193104537. The next prime is 8193104653. The reversal of 8193104640 is 464013918.

8193104640 is a `hidden beast` number, since 8 + 1 + 9 + 3 + 1 + 0 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 = 8193104595 and 8193104604.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115395805 + ... + 115395875.

It is an arithmetic number, because the mean of its divisors is an integer number (40176864).

Almost surely, 2^8193104640 is an apocalyptic number.

8193104640 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 8193104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17356405248).

8193104640 is an abundant number, since it is smaller than the sum of its proper divisors (26519705856).

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

8193104640 is an equidigital number, since it uses as much as digits as its factorization.

8193104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

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

The square root of 8193104640 is about 90515.7701176983. The cubic root of 8193104640 is about 2015.9642850816.

The spelling of 8193104640 in words is "eight billion, one hundred ninety-three million, one hundred four thousand, six hundred forty".