31068908640 has 864 divisors, whose sum is σ = 139154410080. Its totient is φ = 6450554880.

The previous prime is 31068908597. The next prime is 31068908669. The reversal of 31068908640 is 4680986013.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25612674 + ... + 25613886.

It is an arithmetic number, because the mean of its divisors is an integer number (161058345).

Almost surely, 2^31068908640 is an apocalyptic number.

31068908640 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 31068908640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69577205040).

31068908640 is an abundant number, since it is smaller than the sum of its proper divisors (108085501440).

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

31068908640 is a wasteful number, since it uses less digits than its factorization.

31068908640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1273 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 31068908640 in words is "thirty-one billion, sixty-eight million, nine hundred eight thousand, six hundred forty".