68009949216 has 432 divisors, whose sum is σ = 231717558240. Its totient is φ = 19388160000.

The previous prime is 68009949193. The next prime is 68009949251. The reversal of 68009949216 is 61294990086.

68009949216 is a `hidden beast` number, since 68 + 0 + 0 + 99 + 492 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

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 71 ways as a sum of consecutive naturals, for example, 30212091 + ... + 30214341.

Almost surely, 2^68009949216 is an apocalyptic number.

68009949216 is a gapful number since it is divisible by the number (66) 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 68009949216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115858779120).

68009949216 is an abundant number, since it is smaller than the sum of its proper divisors (163707609024).

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

68009949216 is a wasteful number, since it uses less digits than its factorization.

68009949216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 68009949216 in words is "sixty-eight billion, nine million, nine hundred forty-nine thousand, two hundred sixteen".