4688467056 has 320 divisors, whose sum is σ = 17437772800. Its totient is φ = 1171252224.

The previous prime is 4688467027. The next prime is 4688467057. The reversal of 4688467056 is 6507648864.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4688466993 and 4688467011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4688467057) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 743790 + ... + 750066.

It is an arithmetic number, because the mean of its divisors is an integer number (54493040).

Almost surely, 2^4688467056 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 4688467056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8718886400).

4688467056 is an abundant number, since it is smaller than the sum of its proper divisors (12749305744).

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

4688467056 is a wasteful number, since it uses less digits than its factorization.

4688467056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6333 (or 6321 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The square root of 4688467056 is about 68472.3817024061. The cubic root of 4688467056 is about 1673.6974569186.

The spelling of 4688467056 in words is "four billion, six hundred eighty-eight million, four hundred sixty-seven thousand, fifty-six".