31673835648 has 640 divisors, whose sum is σ = 118186992000. Its totient is φ = 8197521408.

The previous prime is 31673835587. The next prime is 31673835649. The reversal of 31673835648 is 84653837613.

31673835648 is a `hidden beast` number, since 3 + 1 + 6 + 73 + 8 + 3 + 564 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 31673835594 and 31673835603.

It is not an unprimeable number, because it can be changed into a prime (31673835649) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 55665508 + ... + 55666076.

It is an arithmetic number, because the mean of its divisors is an integer number (184667175).

Almost surely, 2^31673835648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31673835648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59093496000).

31673835648 is an abundant number, since it is smaller than the sum of its proper divisors (86513156352).

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

31673835648 is a wasteful number, since it uses less digits than its factorization.

31673835648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 653 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 31673835648 in words is "thirty-one billion, six hundred seventy-three million, eight hundred thirty-five thousand, six hundred forty-eight".