4935580416 has 216 divisors, whose sum is σ = 15401131200. Its totient is φ = 1511129088.

The previous prime is 4935580399. The next prime is 4935580421. The reversal of 4935580416 is 6140855394.

4935580416 is a `hidden beast` number, since 4 + 93 + 558 + 0 + 4 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10992160 + ... + 10992608.

Almost surely, 2^4935580416 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 4935580416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700565600).

4935580416 is an abundant number, since it is smaller than the sum of its proper divisors (10465550784).

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

4935580416 is a wasteful number, since it uses less digits than its factorization.

4935580416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The square root of 4935580416 is about 70253.6861381664. The cubic root of 4935580416 is about 1702.6004510326.

The spelling of 4935580416 in words is "four billion, nine hundred thirty-five million, five hundred eighty thousand, four hundred sixteen".