68349770826624 has 1152 divisors, whose sum is σ = 246674978035200. Its totient is φ = 18057489408000.

The previous prime is 68349770826581. The next prime is 68349770826629. The reversal of 68349770826624 is 42662807794386.

It is a happy number.

68349770826624 is a `hidden beast` number, since 6 + 8 + 3 + 497 + 70 + 8 + 2 + 6 + 62 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68349770826629) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7690979109 + ... + 7690987995.

It is an arithmetic number, because the mean of its divisors is an integer number (214127585100).

Almost surely, 2^{68349770826624} is an apocalyptic number.

68349770826624 is a gapful number since it is divisible by the number (64) 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 68349770826624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123337489017600).

68349770826624 is an abundant number, since it is smaller than the sum of its proper divisors (178325207208576).

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

68349770826624 is a wasteful number, since it uses less digits than its factorization.

68349770826624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9112 (or 9090 counting only the distinct ones).

The product of its (nonzero) digits is 1170505728, while the sum is 72.

The spelling of 68349770826624 in words is "sixty-eight trillion, three hundred forty-nine billion, seven hundred seventy million, eight hundred twenty-six thousand, six hundred twenty-four".