68326156800000 has 1872 divisors, whose sum is σ = 279220485870144. Its totient is φ = 16555622400000.

The previous prime is 68326156799959. The next prime is 68326156800043. The reversal of 68326156800000 is 865162386.

68326156800000 is a `hidden beast` number, since 6 + 83 + 2 + 6 + 1 + 568 + 0 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34214399002 + ... + 34214400998.

It is an arithmetic number, because the mean of its divisors is an integer number (149156242452).

Almost surely, 2^{68326156800000} is an apocalyptic number.

68326156800000 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 68326156800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139610242935072).

68326156800000 is an abundant number, since it is smaller than the sum of its proper divisors (210894329070144).

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

68326156800000 is an frugal number, since it uses more digits than its factorization.

68326156800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 68326156800000 in words is "sixty-eight trillion, three hundred twenty-six billion, one hundred fifty-six million, eight hundred thousand".