68363792640 has 1728 divisors, whose sum is σ = 303737091840. Its totient is φ = 14491975680.

The previous prime is 68363792603. The next prime is 68363792641. The reversal of 68363792640 is 4629736386.

68363792640 is a `hidden beast` number, since 6 + 8 + 3 + 6 + 379 + 264 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68363792641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1289882854 + ... + 1289882906.

It is an arithmetic number, because the mean of its divisors is an integer number (175773780).

Almost surely, 2^68363792640 is an apocalyptic number.

68363792640 is a gapful number since it is divisible by the number (60) 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 68363792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151868545920).

68363792640 is an abundant number, since it is smaller than the sum of its proper divisors (235373299200).

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

68363792640 is a wasteful number, since it uses less digits than its factorization.

68363792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 68363792640 in words is "sixty-eight billion, three hundred sixty-three million, seven hundred ninety-two thousand, six hundred forty".