4767966590772 has 288 divisors, whose sum is σ = 14434896107520. Its totient is φ = 1210706810880.

The previous prime is 4767966590771. The next prime is 4767966590791. The reversal of 4767966590772 is 2770956697674.

It is a junction number, because it is equal to n+sod(n) for n = 4767966590694 and 4767966590703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4767966590771) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 282403843 + ... + 282420725.

It is an arithmetic number, because the mean of its divisors is an integer number (50121167040).

Almost surely, 2^{4767966590772} is an apocalyptic number.

4767966590772 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4767966590772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7217448053760).

4767966590772 is an abundant number, since it is smaller than the sum of its proper divisors (9666929516748).

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

4767966590772 is a wasteful number, since it uses less digits than its factorization.

4767966590772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17891 (or 17882 counting only the distinct ones).

The product of its (nonzero) digits is 1680315840, while the sum is 75.

The spelling of 4767966590772 in words is "four trillion, seven hundred sixty-seven billion, nine hundred sixty-six million, five hundred ninety thousand, seven hundred seventy-two".