4688545680 has 400 divisors, whose sum is σ = 20044383744. Its totient is φ = 989107200.

The previous prime is 4688545661. The next prime is 4688545703. The reversal of 4688545680 is 865458864.

4688545680 is a `hidden beast` number, since 468 + 8 + 54 + 56 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 585705 + ... + 593655.

Almost surely, 2^4688545680 is an apocalyptic number.

4688545680 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 4688545680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10022191872).

4688545680 is an abundant number, since it is smaller than the sum of its proper divisors (15355838064).

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

4688545680 is a wasteful number, since it uses less digits than its factorization.

4688545680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7996 (or 7981 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The square root of 4688545680 is about 68472.9558292907. The cubic root of 4688545680 is about 1673.7068126456.

The spelling of 4688545680 in words is "four billion, six hundred eighty-eight million, five hundred forty-five thousand, six hundred eighty".