68295408025680 has 960 divisors, whose sum is σ = 257745325743360. Its totient is φ = 16065987379200.

The previous prime is 68295408025667. The next prime is 68295408025697. The reversal of 68295408025680 is 8652080459286.

68295408025680 is a `hidden beast` number, since 6 + 8 + 2 + 9 + 540 + 8 + 0 + 2 + 5 + 6 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

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, 22487785122 + ... + 22487788158.

It is an arithmetic number, because the mean of its divisors is an integer number (268484714316).

Almost surely, 2^{68295408025680} is an apocalyptic number.

68295408025680 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 68295408025680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128872662871680).

68295408025680 is an abundant number, since it is smaller than the sum of its proper divisors (189449917717680).

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

68295408025680 is a wasteful number, since it uses less digits than its factorization.

68295408025680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740 (or 3731 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 68295408025680 in words is "sixty-eight trillion, two hundred ninety-five billion, four hundred eight million, twenty-five thousand, six hundred eighty".