4633465920 has 224 divisors, whose sum is σ = 15452335872. Its totient is φ = 1174069248.

The previous prime is 4633465919. The next prime is 4633465979. The reversal of 4633465920 is 295643364.

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, 3819234 + ... + 3820446.

Almost surely, 2^4633465920 is an apocalyptic number.

4633465920 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 4633465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7726167936).

4633465920 is an abundant number, since it is smaller than the sum of its proper divisors (10818869952).

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

4633465920 is a wasteful number, since it uses less digits than its factorization.

4633465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1419 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 42.

The square root of 4633465920 is about 68069.5667681233. The cubic root of 4633465920 is about 1667.1268944137.

The spelling of 4633465920 in words is "four billion, six hundred thirty-three million, four hundred sixty-five thousand, nine hundred twenty".