4169359687680 has 1368 divisors, whose sum is σ = 16708464654336. Its totient is φ = 959195381760.

The previous prime is 4169359687579. The next prime is 4169359687733. The reversal of 4169359687680 is 867869539614.

4169359687680 is a `hidden beast` number, since 416 + 9 + 3 + 5 + 9 + 68 + 76 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4169359687599 and 4169359687608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32829603777 + ... + 32829603903.

It is an arithmetic number, because the mean of its divisors is an integer number (12213789952).

Almost surely, 2^{4169359687680} is an apocalyptic number.

4169359687680 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 4169359687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8354232327168).

4169359687680 is an abundant number, since it is smaller than the sum of its proper divisors (12539104966656).

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

4169359687680 is a wasteful number, since it uses less digits than its factorization.

4169359687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 4169359687680 in words is "four trillion, one hundred sixty-nine billion, three hundred fifty-nine million, six hundred eighty-seven thousand, six hundred eighty".