68135634000000 has 3584 divisors, whose sum is σ = 309821034240000. Its totient is φ = 14394931200000.

The previous prime is 68135633999891. The next prime is 68135634000037. The reversal of 68135634000000 is 43653186.

68135634000000 is a `hidden beast` number, since 6 + 8 + 13 + 5 + 634 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 380645999911 + ... + 380646000089.

Almost surely, 2^{68135634000000} is an apocalyptic number.

68135634000000 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 68135634000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154910517120000).

68135634000000 is an abundant number, since it is smaller than the sum of its proper divisors (241685400240000).

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

68135634000000 is an equidigital number, since it uses as much as digits as its factorization.

68135634000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 68135634000000 its reverse (43653186), we get a palindrome (68135677653186).

The spelling of 68135634000000 in words is "sixty-eight trillion, one hundred thirty-five billion, six hundred thirty-four million", and thus it is an aban number.