4680689760 has 192 divisors, whose sum is σ = 16413969600. Its totient is φ = 1245782016.

The previous prime is 4680689749. The next prime is 4680689777. The reversal of 4680689760 is 679860864.

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 = 4680689697 and 4680689706.

It is a congruent number.

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, 4220086 + ... + 4221194.

It is an arithmetic number, because the mean of its divisors is an integer number (85489425).

Almost surely, 2^4680689760 is an apocalyptic number.

4680689760 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 4680689760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8206984800).

4680689760 is an abundant number, since it is smaller than the sum of its proper divisors (11733279840).

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

4680689760 is a wasteful number, since it uses less digits than its factorization.

4680689760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 4680689760 is about 68415.5666497033. The cubic root of 4680689760 is about 1672.7714936611.

The spelling of 4680689760 in words is "four billion, six hundred eighty million, six hundred eighty-nine thousand, seven hundred sixty".