4770526761 has 243 divisors, whose sum is σ = 9973465047. Its totient is φ = 2188105920.

The previous prime is 4770526759. The next prime is 4770526801. The reversal of 4770526761 is 1676250774.

The square root of 4770526761 is 69069.

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., 705699225 + 4064827536 = 26565^2 + 63756^2 .

It is not a de Polignac number, because 4770526761 - 2¹ = 4770526759 is a prime.

It is a super-2 number, since 2×4770526761² = 45515851154834302242, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4770526741) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 207414196 + ... + 207414218.

Almost surely, 2^4770526761 is an apocalyptic number.

4770526761 is the 69069-th square number.

4770526761 is the 34535-th centered octagonal number.

It is an amenable number.

4770526761 is an abundant number, since it is smaller than the sum of its proper divisors (5202938286).

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

4770526761 is a wasteful number, since it uses less digits than its factorization.

4770526761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The cubic root of 4770526761 is about 1683.4056436038.

The spelling of 4770526761 in words is "four billion, seven hundred seventy million, five hundred twenty-six thousand, seven hundred sixty-one".