4661687772 has 144 divisors (see below), whose sum is σ = 14206483200. Its totient is φ = 1259089920.

The previous prime is 4661687747. The next prime is 4661687773. The reversal of 4661687772 is 2777861664.

It is a super-2 number, since 2×4661687772² = 43462665767228647968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4661687773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3307804 + ... + 3309212.

Almost surely, 2^4661687772 is an apocalyptic number.

4661687772 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 4661687772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103241600).

4661687772 is an abundant number, since it is smaller than the sum of its proper divisors (9544795428).

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

4661687772 is a wasteful number, since it uses less digits than its factorization.

4661687772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2131 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The square root of 4661687772 is about 68276.5536037079. The cubic root of 4661687772 is about 1670.5047982140.

The spelling of 4661687772 in words is "four billion, six hundred sixty-one million, six hundred eighty-seven thousand, seven hundred seventy-two".