4680896640 has 256 divisors, whose sum is σ = 17514558720. Its totient is φ = 1040891904.

The previous prime is 4680896621. The next prime is 4680896653. The reversal of 4680896640 is 466980864.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 492574 + ... + 501986.

It is an arithmetic number, because the mean of its divisors is an integer number (68416245).

Almost surely, 2^4680896640 is an apocalyptic number.

4680896640 is a gapful number since it is divisible by the number (40) 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 4680896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8757279360).

4680896640 is an abundant number, since it is smaller than the sum of its proper divisors (12833662080).

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

4680896640 is a wasteful number, since it uses less digits than its factorization.

4680896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9479 (or 9467 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The square root of 4680896640 is about 68417.0785696086. The cubic root of 4680896640 is about 1672.7961380252.

The spelling of 4680896640 in words is "four billion, six hundred eighty million, eight hundred ninety-six thousand, six hundred forty".