31668584640 has 1344 divisors, whose sum is σ = 140100710400. Its totient is φ = 5904138240.

The previous prime is 31668584639. The next prime is 31668584663. The reversal of 31668584640 is 4648586613.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 400868121 + ... + 400868199.

It is an arithmetic number, because the mean of its divisors is an integer number (104241600).

Almost surely, 2^31668584640 is an apocalyptic number.

31668584640 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 31668584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70050355200).

31668584640 is an abundant number, since it is smaller than the sum of its proper divisors (108432125760).

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

31668584640 is a wasteful number, since it uses less digits than its factorization.

31668584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 31668584640 in words is "thirty-one billion, six hundred sixty-eight million, five hundred eighty-four thousand, six hundred forty".