31068265616640 has 2304 divisors, whose sum is σ = 137062620979200. Its totient is φ = 6506483023872.

The previous prime is 31068265616603. The next prime is 31068265616653. The reversal of 31068265616640 is 4661656286013.

31068265616640 is a `hidden beast` number, since 3 + 10 + 6 + 8 + 2 + 6 + 5 + 616 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17783780247 + ... + 17783781993.

It is an arithmetic number, because the mean of its divisors is an integer number (59488984800).

Almost surely, 2^{31068265616640} is an apocalyptic number.

31068265616640 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 31068265616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68531310489600).

31068265616640 is an abundant number, since it is smaller than the sum of its proper divisors (105994355362560).

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

31068265616640 is a wasteful number, since it uses less digits than its factorization.

31068265616640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1929 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 31068265616640 in words is "thirty-one trillion, sixty-eight billion, two hundred sixty-five million, six hundred sixteen thousand, six hundred forty".