4632415920 has 640 divisors, whose sum is σ = 18448819200. Its totient is φ = 1071221760.

The previous prime is 4632415919. The next prime is 4632415933. The reversal of 4632415920 is 295142364.

It is a happy number.

4632415920 is a `hidden beast` number, since 4 + 63 + 2 + 4 + 1 + 592 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55812199 + ... + 55812281.

It is an arithmetic number, because the mean of its divisors is an integer number (28826280).

Almost surely, 2^4632415920 is an apocalyptic number.

4632415920 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 4632415920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9224409600).

4632415920 is an abundant number, since it is smaller than the sum of its proper divisors (13816403280).

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

4632415920 is a wasteful number, since it uses less digits than its factorization.

4632415920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4632415920 is about 68061.8536332945. The cubic root of 4632415920 is about 1667.0009544576. Note that the first 3 decimals are identical.

The spelling of 4632415920 in words is "four billion, six hundred thirty-two million, four hundred fifteen thousand, nine hundred twenty".