4744256832 has 420 divisors, whose sum is σ = 17238085920. Its totient is φ = 1282853376.

The previous prime is 4744256807. The next prime is 4744256857. The reversal of 4744256832 is 2386524474.

It is a happy number.

4744256832 is a `hidden beast` number, since 47 + 4 + 42 + 568 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4744256807) and next prime (4744256857).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4825813 + ... + 4826795.

Almost surely, 2^4744256832 is an apocalyptic number.

4744256832 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 4744256832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8619042960).

4744256832 is an abundant number, since it is smaller than the sum of its proper divisors (12493829088).

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

4744256832 is a wasteful number, since it uses less digits than its factorization.

4744256832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1014 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 45.

The square root of 4744256832 is about 68878.5658387281. The cubic root of 4744256832 is about 1680.3099428152.

The spelling of 4744256832 in words is "four billion, seven hundred forty-four million, two hundred fifty-six thousand, eight hundred thirty-two".