4762552032 has 192 divisors, whose sum is σ = 16245250560. Its totient is φ = 1329011712.

The previous prime is 4762552021. The next prime is 4762552033. The reversal of 4762552032 is 2302552674.

4762552032 is a `hidden beast` number, since 4 + 7 + 625 + 5 + 20 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4762552033) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250908 + ... + 269220.

It is an arithmetic number, because the mean of its divisors is an integer number (84610680).

Almost surely, 2^4762552032 is an apocalyptic number.

4762552032 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 4762552032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8122625280).

4762552032 is an abundant number, since it is smaller than the sum of its proper divisors (11482698528).

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

4762552032 is a wasteful number, since it uses less digits than its factorization.

4762552032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18382 (or 18368 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The square root of 4762552032 is about 69011.2456922783. The cubic root of 4762552032 is about 1682.4670895772.

The spelling of 4762552032 in words is "four billion, seven hundred sixty-two million, five hundred fifty-two thousand, thirty-two".