4205323680 has 96 divisors (see below), whose sum is σ = 13822752384. Its totient is φ = 1072659456.

The previous prime is 4205323649. The next prime is 4205323691. The reversal of 4205323680 is 863235024.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 179419 + ... + 201498.

It is an arithmetic number, because the mean of its divisors is an integer number (143987004).

Almost surely, 2^4205323680 is an apocalyptic number.

4205323680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4205323680 is an abundant number, since it is smaller than the sum of its proper divisors (9617428704).

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

4205323680 is a wasteful number, since it uses less digits than its factorization.

4205323680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380958 (or 380950 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 4205323680 is about 64848.4670597540. The cubic root of 4205323680 is about 1614.1100548526.

The spelling of 4205323680 in words is "four billion, two hundred five million, three hundred twenty-three thousand, six hundred eighty".