8353904640 has 192 divisors, whose sum is σ = 26883511200. Its totient is φ = 2214592512.

The previous prime is 8353904623. The next prime is 8353904651. The reversal of 8353904640 is 464093538.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 8353904592 and 8353904601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5928256 + ... + 5929664.

Almost surely, 2^8353904640 is an apocalyptic number.

8353904640 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 8353904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441755600).

8353904640 is an abundant number, since it is smaller than the sum of its proper divisors (18529606560).

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

8353904640 is a wasteful number, since it uses less digits than its factorization.

8353904640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1632 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 8353904640 is about 91399.6971548593. The cubic root of 8353904640 is about 2029.0675455791.

The spelling of 8353904640 in words is "eight billion, three hundred fifty-three million, nine hundred four thousand, six hundred forty".