3968527747968 has 2560 divisors, whose sum is σ = 16015137177600. Its totient is φ = 948109639680.

The previous prime is 3968527747963. The next prime is 3968527747981. The reversal of 3968527747968 is 8697477258693.

It is a happy number.

3968527747968 is a `hidden beast` number, since 3 + 9 + 6 + 85 + 2 + 7 + 7 + 479 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

Its product of digits (7681443840) is a multiple of the sum of its prime factors (270).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3968527747963) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 31248249921 + ... + 31248250047.

It is an arithmetic number, because the mean of its divisors is an integer number (6255912960).

Almost surely, 2^{3968527747968} is an apocalyptic number.

3968527747968 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 3968527747968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007568588800).

3968527747968 is an abundant number, since it is smaller than the sum of its proper divisors (12046609429632).

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

3968527747968 is a wasteful number, since it uses less digits than its factorization.

3968527747968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 249 counting only the distinct ones).

The product of its digits is 7681443840, while the sum is 81.

The spelling of 3968527747968 in words is "three trillion, nine hundred sixty-eight billion, five hundred twenty-seven million, seven hundred forty-seven thousand, nine hundred sixty-eight".