39894768768 has 256 divisors, whose sum is σ = 118655539200. Its totient is φ = 11802525696.

The previous prime is 39894768761. The next prime is 39894768769. The reversal of 39894768768 is 86786749893.

It is a self number, because there is not a number n which added to its sum of digits gives 39894768768.

It is not an unprimeable number, because it can be changed into a prime (39894768761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32619805 + ... + 32621027.

It is an arithmetic number, because the mean of its divisors is an integer number (463498200).

Almost surely, 2^39894768768 is an apocalyptic number.

39894768768 is a gapful number since it is divisible by the number (38) 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 39894768768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59327769600).

39894768768 is an abundant number, since it is smaller than the sum of its proper divisors (78760770432).

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

39894768768 is a wasteful number, since it uses less digits than its factorization.

39894768768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1527 counting only the distinct ones).

The product of its digits is 877879296, while the sum is 75.

The spelling of 39894768768 in words is "thirty-nine billion, eight hundred ninety-four million, seven hundred sixty-eight thousand, seven hundred sixty-eight".