4113772872768 has 672 divisors, whose sum is σ = 13551534796800. Its totient is φ = 1183966543872.

The previous prime is 4113772872749. The next prime is 4113772872857. The reversal of 4113772872768 is 8672782773114.

4113772872768 is a `hidden beast` number, since 4 + 1 + 13 + 77 + 287 + 276 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1185865338 + ... + 1185868806.

It is an arithmetic number, because the mean of its divisors is an integer number (20165974400).

Almost surely, 2^{4113772872768} is an apocalyptic number.

4113772872768 is a gapful number since it is divisible by the number (48) 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 4113772872768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6775767398400).

4113772872768 is an abundant number, since it is smaller than the sum of its proper divisors (9437761924032).

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

4113772872768 is a wasteful number, since it uses less digits than its factorization.

4113772872768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3699 (or 3686 counting only the distinct ones).

The product of its digits is 44255232, while the sum is 63.

The spelling of 4113772872768 in words is "four trillion, one hundred thirteen billion, seven hundred seventy-two million, eight hundred seventy-two thousand, seven hundred sixty-eight".