4638416832 has 336 divisors, whose sum is σ = 16418052000. Its totient is φ = 1278885888.

The previous prime is 4638416821. The next prime is 4638416843. The reversal of 4638416832 is 2386148364.

4638416832 is a `hidden beast` number, since 4 + 638 + 4 + 1 + 6 + 8 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4638416821) and next prime (4638416843).

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2454544 + ... + 2456432.

It is an arithmetic number, because the mean of its divisors is an integer number (48863250).

Almost surely, 2^4638416832 is an apocalyptic number.

4638416832 is a gapful number since it is divisible by the number (42) 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 4638416832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8209026000).

4638416832 is an abundant number, since it is smaller than the sum of its proper divisors (11779635168).

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

4638416832 is a wasteful number, since it uses less digits than its factorization.

4638416832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1930 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4638416832 is about 68105.9236190216. The cubic root of 4638416832 is about 1667.7204645167.

The spelling of 4638416832 in words is "four billion, six hundred thirty-eight million, four hundred sixteen thousand, eight hundred thirty-two".