4761428646 has 96 divisors (see below), whose sum is σ = 11186265888. Its totient is φ = 1345044480.

The previous prime is 4761428641. The next prime is 4761428669. The reversal of 4761428646 is 6468241674.

It is a super-3 number, since 3×4761428646³ (a number of 30 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4761428595 and 4761428604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4761428641) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 703390 + ... + 710126.

It is an arithmetic number, because the mean of its divisors is an integer number (116523603).

Almost surely, 2^4761428646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4761428646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593132944).

4761428646 is an abundant number, since it is smaller than the sum of its proper divisors (6424837242).

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

4761428646 is a wasteful number, since it uses less digits than its factorization.

4761428646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6826 (or 6813 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 48.

The square root of 4761428646 is about 69003.1060605246. The cubic root of 4761428646 is about 1682.3347929577.

The spelling of 4761428646 in words is "four billion, seven hundred sixty-one million, four hundred twenty-eight thousand, six hundred forty-six".