4776921670689 has 81 divisors (see below), whose sum is σ = 8082519338673. Its totient is φ = 2710759567824.

The previous prime is 4776921670687. The next prime is 4776921670693. The reversal of 4776921670689 is 9860761296774.

The square root of 4776921670689 is 2185617.

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

4776921670689 is a `hidden beast` number, since 477 + 6 + 9 + 2 + 1 + 6 + 70 + 6 + 89 = 666.

It is not a de Polignac number, because 4776921670689 - 2¹ = 4776921670687 is a prime.

It is a super-3 number, since 3×4776921670689³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4776921670687) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9133693182 + ... + 9133693704.

Almost surely, 2^{4776921670689} is an apocalyptic number.

4776921670689 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4776921670689 is the 2185617-th square number.

4776921670689 is the 1092809-th centered octagonal number.

It is an amenable number.

4776921670689 is a deficient number, since it is larger than the sum of its proper divisors (3305597667984).

4776921670689 is an frugal number, since it uses more digits than its factorization.

4776921670689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1464 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 384072192, while the sum is 72.

The spelling of 4776921670689 in words is "four trillion, seven hundred seventy-six billion, nine hundred twenty-one million, six hundred seventy thousand, six hundred eighty-nine".