68368671302400 has 1728 divisors, whose sum is σ = 307122002933760. Its totient is φ = 14707523911680.

The previous prime is 68368671302359. The next prime is 68368671302411. The reversal of 68368671302400 is 420317686386.

68368671302400 is a `hidden beast` number, since 6 + 8 + 368 + 6 + 7 + 1 + 30 + 240 + 0 = 666.

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

It is a super-2 number, since 2×68368671302400² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1665598677 + ... + 1665639723.

Almost surely, 2^{68368671302400} is an apocalyptic number.

68368671302400 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 68368671302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153561001466880).

68368671302400 is an abundant number, since it is smaller than the sum of its proper divisors (238753331631360).

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

68368671302400 is an equidigital number, since it uses as much as digits as its factorization.

68368671302400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41118 (or 41081 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

Adding to 68368671302400 its reverse (420317686386), we get a palindrome (68788988988786).

The spelling of 68368671302400 in words is "sixty-eight trillion, three hundred sixty-eight billion, six hundred seventy-one million, three hundred two thousand, four hundred".