4938433632 has 288 divisors, whose sum is σ = 16575197184. Its totient is φ = 1377792000.

The previous prime is 4938433631. The next prime is 4938433637. The reversal of 4938433632 is 2363348394.

4938433632 is a `hidden beast` number, since 4 + 9 + 3 + 8 + 4 + 3 + 3 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×4938433632² = 48776253475337422848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4938433631) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2530257 + ... + 2532207.

It is an arithmetic number, because the mean of its divisors is an integer number (57552768).

Almost surely, 2^4938433632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4938433632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8287598592).

4938433632 is an abundant number, since it is smaller than the sum of its proper divisors (11636763552).

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

4938433632 is a wasteful number, since it uses less digits than its factorization.

4938433632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2031 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 4938433632 is about 70273.9897259292. The cubic root of 4938433632 is about 1702.9284739896.

The spelling of 4938433632 in words is "four billion, nine hundred thirty-eight million, four hundred thirty-three thousand, six hundred thirty-two".