4762656144 has 165 divisors, whose sum is σ = 14039086219. Its totient is φ = 1565192160.

The previous prime is 4762656113. The next prime is 4762656149. The reversal of 4762656144 is 4416562674.

The square root of 4762656144 is 69012.

It is a perfect power (a square), and thus also a powerful number.

4762656144 is a `hidden beast` number, since 4 + 7 + 6 + 26 + 5 + 614 + 4 = 666.

It is a Duffinian number.

Its product of digits (967680) is a multiple of the sum of its prime factors (180).

It is a self number, because there is not a number n which added to its sum of digits gives 4762656144.

It is not an unprimeable number, because it can be changed into a prime (4762656149) by changing a digit.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 67079629 + ... + 67079699.

Almost surely, 2^4762656144 is an apocalyptic number.

4762656144 is the 69012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4762656144

4762656144 is an abundant number, since it is smaller than the sum of its proper divisors (9276430075).

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

4762656144 is an frugal number, since it uses more digits than its factorization.

4762656144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 76 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The cubic root of 4762656144 is about 1682.4793493723.

The spelling of 4762656144 in words is "four billion, seven hundred sixty-two million, six hundred fifty-six thousand, one hundred forty-four".