4761859648 has 224 divisors, whose sum is σ = 12781117440. Its totient is φ = 1706158080.

The previous prime is 4761859601. The next prime is 4761859691. The reversal of 4761859648 is 8469581674.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 4761859592 and 4761859601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2544153 + ... + 2546023.

It is an arithmetic number, because the mean of its divisors is an integer number (57058560).

Almost surely, 2^4761859648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4761859648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6390558720).

4761859648 is an abundant number, since it is smaller than the sum of its proper divisors (8019257792).

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

4761859648 is a wasteful number, since it uses less digits than its factorization.

4761859648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1945 (or 1935 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 58.

The square root of 4761859648 is about 69006.2290521660. The cubic root of 4761859648 is about 1682.3855527777.

The spelling of 4761859648 in words is "four billion, seven hundred sixty-one million, eight hundred fifty-nine thousand, six hundred forty-eight".