4688500680 has 192 divisors, whose sum is σ = 15527453760. Its totient is φ = 1226709504.

The previous prime is 4688500679. The next prime is 4688500709. The reversal of 4688500680 is 860058864.

4688500680 is a `hidden beast` number, since 4 + 6 + 88 + 500 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5168787 + ... + 5169693.

It is an arithmetic number, because the mean of its divisors is an integer number (80872155).

Almost surely, 2^4688500680 is an apocalyptic number.

4688500680 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 4688500680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7763726880).

4688500680 is an abundant number, since it is smaller than the sum of its proper divisors (10838953080).

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

4688500680 is a wasteful number, since it uses less digits than its factorization.

4688500680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 4688500680 is about 68472.6272316172. The cubic root of 4688500680 is about 1673.7014579612.

It can be divided in two parts, 46885006 and 80, that added together give a triangular number (46885086 = T₉₆₈₃).

The spelling of 4688500680 in words is "four billion, six hundred eighty-eight million, five hundred thousand, six hundred eighty".