4762132032 has 168 divisors, whose sum is σ = 15428915040. Its totient is φ = 1288949760.

The previous prime is 4762132003. The next prime is 4762132033. The reversal of 4762132032 is 2302312674.

It is a tau number, because it is divible by the number of its divisors (168).

It is not an unprimeable number, because it can be changed into a prime (4762132033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165432 + ... + 192072.

It is an arithmetic number, because the mean of its divisors is an integer number (91838780).

Almost surely, 2^4762132032 is an apocalyptic number.

4762132032 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 4762132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7714457520).

4762132032 is an abundant number, since it is smaller than the sum of its proper divisors (10666783008).

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

4762132032 is a wasteful number, since it uses less digits than its factorization.

4762132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26689 (or 26672 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 4762132032 is about 69008.2026428743. The cubic root of 4762132032 is about 1682.4176303134.

The spelling of 4762132032 in words is "four billion, seven hundred sixty-two million, one hundred thirty-two thousand, thirty-two".