68005705950 has 576 divisors, whose sum is σ = 242424483840. Its totient is φ = 13880160000.

The previous prime is 68005705927. The next prime is 68005705951. The reversal of 68005705950 is 5950750086.

68005705950 is a `hidden beast` number, since 6 + 8 + 0 + 0 + 57 + 0 + 595 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 68005705896 and 68005705905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68005705951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 26657175 + ... + 26659725.

It is an arithmetic number, because the mean of its divisors is an integer number (420875840).

Almost surely, 2^68005705950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68005705950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121212241920).

68005705950 is an abundant number, since it is smaller than the sum of its proper divisors (174418777890).

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

68005705950 is a wasteful number, since it uses less digits than its factorization.

68005705950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2612 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 68005705950 in words is "sixty-eight billion, five million, seven hundred five thousand, nine hundred fifty".