68706144000 has 720 divisors, whose sum is σ = 275479364160. Its totient is φ = 16903987200.

The previous prime is 68706143959. The next prime is 68706144043. The reversal of 68706144000 is 44160786.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33694981 + ... + 33697019.

It is an arithmetic number, because the mean of its divisors is an integer number (382610228).

Almost surely, 2^68706144000 is an apocalyptic number.

68706144000 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 68706144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137739682080).

68706144000 is an abundant number, since it is smaller than the sum of its proper divisors (206773220160).

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

68706144000 is a wasteful number, since it uses less digits than its factorization.

68706144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2095 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 68706144000 in words is "sixty-eight billion, seven hundred six million, one hundred forty-four thousand".