41636947968 has 864 divisors, whose sum is σ = 158946278400. Its totient is φ = 10729635840.

The previous prime is 41636947951. The next prime is 41636947973. The reversal of 41636947968 is 86974963614.

41636947968 is a `hidden beast` number, since 41 + 6 + 3 + 69 + 479 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 327849921 + ... + 327850047.

It is an arithmetic number, because the mean of its divisors is an integer number (183965600).

Almost surely, 2^41636947968 is an apocalyptic number.

41636947968 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 41636947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79473139200).

41636947968 is an abundant number, since it is smaller than the sum of its proper divisors (117309330432).

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

41636947968 is a wasteful number, since it uses less digits than its factorization.

41636947968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 150 counting only the distinct ones).

The product of its digits is 47029248, while the sum is 63.

The spelling of 41636947968 in words is "forty-one billion, six hundred thirty-six million, nine hundred forty-seven thousand, nine hundred sixty-eight".