4233807864 has 384 divisors, whose sum is σ = 14079985920. Its totient is φ = 1132185600.

The previous prime is 4233807841. The next prime is 4233807871. The reversal of 4233807864 is 4687083324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32319079 + ... + 32319209.

It is an arithmetic number, because the mean of its divisors is an integer number (36666630).

Almost surely, 2^4233807864 is an apocalyptic number.

4233807864 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 4233807864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7039992960).

4233807864 is an abundant number, since it is smaller than the sum of its proper divisors (9846178056).

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

4233807864 is a wasteful number, since it uses less digits than its factorization.

4233807864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4233807864 is about 65067.7175256671. The cubic root of 4233807864 is about 1617.7461753776.

The spelling of 4233807864 in words is "four billion, two hundred thirty-three million, eight hundred seven thousand, eight hundred sixty-four".