31668682752 has 450 divisors, whose sum is σ = 110285071512. Its totient is φ = 9029615616.

The previous prime is 31668682751. The next prime is 31668682753. The reversal of 31668682752 is 25728686613.

It is an interprime number because it is at equal distance from previous prime (31668682751) and next prime (31668682753).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31668682751) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 65027853 + ... + 65028339.

Almost surely, 2^31668682752 is an apocalyptic number.

31668682752 is a gapful number since it is divisible by the number (32) 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 31668682752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55142535756).

31668682752 is an abundant number, since it is smaller than the sum of its proper divisors (78616388760).

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

31668682752 is an frugal number, since it uses more digits than its factorization.

31668682752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 499 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 31668682752 in words is "thirty-one billion, six hundred sixty-eight million, six hundred eighty-two thousand, seven hundred fifty-two".