41688656064 has 168 divisors, whose sum is σ = 130467250368. Its totient is φ = 12622149120.

The previous prime is 41688656063. The next prime is 41688656083. The reversal of 41688656064 is 46065688614.

41688656064 is a `hidden beast` number, since 4 + 16 + 8 + 8 + 6 + 560 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41688656064.

It is not an unprimeable number, because it can be changed into a prime (41688656063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10560139 + ... + 10564085.

It is an arithmetic number, because the mean of its divisors is an integer number (776590776).

Almost surely, 2^41688656064 is an apocalyptic number.

41688656064 is a gapful number since it is divisible by the number (44) 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 41688656064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65233625184).

41688656064 is an abundant number, since it is smaller than the sum of its proper divisors (88778594304).

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

41688656064 is a wasteful number, since it uses less digits than its factorization.

41688656064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5643 (or 5630 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 41688656064 in words is "forty-one billion, six hundred eighty-eight million, six hundred fifty-six thousand, sixty-four".