4762755072 has 224 divisors, whose sum is σ = 14382963360. Its totient is φ = 1557135360.

The previous prime is 4762755031. The next prime is 4762755149. The reversal of 4762755072 is 2705572674.

4762755072 is a `hidden beast` number, since 4 + 7 + 6 + 27 + 550 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13492048 + ... + 13492400.

Almost surely, 2^4762755072 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 4762755072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7191481680).

4762755072 is an abundant number, since it is smaller than the sum of its proper divisors (9620208288).

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

4762755072 is an equidigital number, since it uses as much as digits as its factorization.

4762755072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The square root of 4762755072 is about 69012.7167411920. The cubic root of 4762755072 is about 1682.4909985557.

The spelling of 4762755072 in words is "four billion, seven hundred sixty-two million, seven hundred fifty-five thousand, seventy-two".