4732644672 has 392 divisors, whose sum is σ = 16515177536. Its totient is φ = 1316818944.

The previous prime is 4732644613. The next prime is 4732644689. The reversal of 4732644672 is 2764462374.

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

Its product of digits (1354752) is a multiple of the sum of its prime divisors (392).

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 55 ways as a sum of consecutive naturals, for example, 14043288 + ... + 14043624.

Almost surely, 2^4732644672 is an apocalyptic number.

4732644672 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 4732644672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8257588768).

4732644672 is an abundant number, since it is smaller than the sum of its proper divisors (11782532864).

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

4732644672 is an equidigital number, since it uses as much as digits as its factorization.

4732644672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 392 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 45.

The square root of 4732644672 is about 68794.2197571860. The cubic root of 4732644672 is about 1678.9379001081.

The spelling of 4732644672 in words is "four billion, seven hundred thirty-two million, six hundred forty-four thousand, six hundred seventy-two".