4760630880769 has 9 divisors (see below), whose sum is σ = 4772597932803. Its totient is φ = 4748693776992.

The previous prime is 4760630880763. The next prime is 4760630880799. The reversal of 4760630880769 is 9670880360674.

It is a happy number.

The square root of 4760630880769 is 2181887.

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

It can be written as a sum of positive squares in only one way, i.e., 533856729025 + 4226774151744 = 730655^2 + 2055912^2 .

It is not a de Polignac number, because 4760630880769 - 2¹³ = 4760630872577 is a prime.

It is a super-2 number, since 2×4760630880769² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4760630880769.

It is not an unprimeable number, because it can be changed into a prime (4760630880763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 944754552 + ... + 944759590.

Almost surely, 2^{4760630880769} is an apocalyptic number.

4760630880769 is the 2181887-th square number.

4760630880769 is the 1090944-th centered octagonal number.

It is an amenable number.

4760630880769 is a deficient number, since it is larger than the sum of its proper divisors (11967052034).

4760630880769 is an frugal number, since it uses more digits than its factorization.

4760630880769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10944 (or 5472 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 64.

Multiplying 4760630880769 by its sum of digits (64), we get a square (304680376369216 = 17455096²).

The spelling of 4760630880769 in words is "four trillion, seven hundred sixty billion, six hundred thirty million, eight hundred eighty thousand, seven hundred sixty-nine".