4204932864 has 576 divisors, whose sum is σ = 14410690560. Its totient is φ = 1070530560.

The previous prime is 4204932799. The next prime is 4204932869. The reversal of 4204932864 is 4682394024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4204932869) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62760159 + ... + 62760225.

It is an arithmetic number, because the mean of its divisors is an integer number (25018560).

Almost surely, 2^4204932864 is an apocalyptic number.

4204932864 is a gapful number since it is divisible by the number (44) 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 4204932864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7205345280).

4204932864 is an abundant number, since it is smaller than the sum of its proper divisors (10205757696).

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

4204932864 is a wasteful number, since it uses less digits than its factorization.

4204932864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 4204932864 is about 64845.4536879803. The cubic root of 4204932864 is about 1614.0600516007.

The spelling of 4204932864 in words is "four billion, two hundred four million, nine hundred thirty-two thousand, eight hundred sixty-four".