31768779533568 has 576 divisors, whose sum is σ = 107406424473600. Its totient is φ = 8097003233280.

The previous prime is 31768779533567. The next prime is 31768779533663. The reversal of 31768779533568 is 86533597786713.

It is a junction number, because it is equal to n+sod(n) for n = 31768779533493 and 31768779533502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31768779533567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761473413 + ... + 761515131.

Almost surely, 2^{31768779533568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31768779533568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53703212236800).

31768779533568 is an abundant number, since it is smaller than the sum of its proper divisors (75637644940032).

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

31768779533568 is a wasteful number, since it uses less digits than its factorization.

31768779533568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41998 (or 41984 counting only the distinct ones).

The product of its digits is 4800902400, while the sum is 78.

The spelling of 31768779533568 in words is "thirty-one trillion, seven hundred sixty-eight billion, seven hundred seventy-nine million, five hundred thirty-three thousand, five hundred sixty-eight".