4665688879680 has 784 divisors, whose sum is σ = 17671304371824. Its totient is φ = 1168753950720.

The previous prime is 4665688879679. The next prime is 4665688879763. The reversal of 4665688879680 is 869788865664.

4665688879680 is a `hidden beast` number, since 46 + 6 + 568 + 8 + 8 + 7 + 9 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 89238417984 + 4576450461696 = 298728^2 + 2139264^2 .

It is a super-2 number, since 2×4665688879680² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 4665688879680.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3255888244 + ... + 3255889676.

Almost surely, 2^{4665688879680} is an apocalyptic number.

4665688879680 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 4665688879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8835652185912).

4665688879680 is an abundant number, since it is smaller than the sum of its proper divisors (13005615492144).

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

4665688879680 is a wasteful number, since it uses less digits than its factorization.

4665688879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306 (or 2281 counting only the distinct ones).

The product of its (nonzero) digits is 6688604160, while the sum is 81.

The spelling of 4665688879680 in words is "four trillion, six hundred sixty-five billion, six hundred eighty-eight million, eight hundred seventy-nine thousand, six hundred eighty".