68514336000 has 1152 divisors, whose sum is σ = 282385958400. Its totient is φ = 16422912000.

The previous prime is 68514335987. The next prime is 68514336029. The reversal of 68514336000 is 63341586.

68514336000 is a `hidden beast` number, since 6 + 8 + 5 + 1 + 43 + 3 + 600 + 0 = 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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 769823956 + ... + 769824044.

It is an arithmetic number, because the mean of its divisors is an integer number (245126700).

Almost surely, 2^68514336000 is an apocalyptic number.

68514336000 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 68514336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141192979200).

68514336000 is an abundant number, since it is smaller than the sum of its proper divisors (213871622400).

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

68514336000 is an frugal number, since it uses more digits than its factorization.

68514336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 110 counting only the distinct ones).

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

Adding to 68514336000 its reverse (63341586), we get a palindrome (68577677586).

The spelling of 68514336000 in words is "sixty-eight billion, five hundred fourteen million, three hundred thirty-six thousand".