4768030350724 has 27 divisors (see below), whose sum is σ = 8863889940997. Its totient is φ = 2243744051264.

The previous prime is 4768030350653. The next prime is 4768030350731. The reversal of 4768030350724 is 4270530308674.

The square root of 4768030350724 is 2183582.

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., 3712134356100 + 1055895994624 = 1926690^2 + 1027568^2 .

It is a super-2 number, since 2×4768030350724² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 74209677 + ... + 74273899.

Almost surely, 2^{4768030350724} is an apocalyptic number.

4768030350724 is the 2183582-nd square number.

It is an amenable number.

4768030350724 is a deficient number, since it is larger than the sum of its proper divisors (4095859590273).

4768030350724 is an frugal number, since it uses more digits than its factorization.

4768030350724 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128484 (or 64242 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 49.

Multiplying 4768030350724 by its sum of digits (49), we get a square (233633487185476 = 15285074²).

The spelling of 4768030350724 in words is "four trillion, seven hundred sixty-eight billion, thirty million, three hundred fifty thousand, seven hundred twenty-four".