31929966720 has 224 divisors, whose sum is σ = 114448183020. Its totient is φ = 8514533376.

The previous prime is 31929966713. The next prime is 31929966727. The reversal of 31929966720 is 2766992913.

It is an interprime number because it is at equal distance from previous prime (31929966713) and next prime (31929966727).

It can be written as a sum of positive squares in 2 ways, for example, as 31909391424 + 20575296 = 178632^2 + 4536^2 .

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

It is not an unprimeable number, because it can be changed into a prime (31929966727) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 432342 + ... + 500778.

Almost surely, 2^31929966720 is an apocalyptic number.

31929966720 is a gapful number since it is divisible by the number (30) 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 31929966720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57224091510).

31929966720 is an abundant number, since it is smaller than the sum of its proper divisors (82518216300).

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

31929966720 is an frugal number, since it uses more digits than its factorization.

31929966720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68474 (or 68447 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The spelling of 31929966720 in words is "thirty-one billion, nine hundred twenty-nine million, nine hundred sixty-six thousand, seven hundred twenty".