4656283760 has 80 divisors (see below), whose sum is σ = 11310990336. Its totient is φ = 1779258624.

The previous prime is 4656283747. The next prime is 4656283771. The reversal of 4656283760 is 673826564.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2440727 + ... + 2442633.

Almost surely, 2^4656283760 is an apocalyptic number.

4656283760 is a gapful number since it is divisible by the number (40) 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 4656283760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5655495168).

4656283760 is an abundant number, since it is smaller than the sum of its proper divisors (6654706576).

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

4656283760 is a wasteful number, since it uses less digits than its factorization.

4656283760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The square root of 4656283760 is about 68236.9676934724. The cubic root of 4656283760 is about 1669.8590436445.

The spelling of 4656283760 in words is "four billion, six hundred fifty-six million, two hundred eighty-three thousand, seven hundred sixty".