68456194156800 has 1728 divisors, whose sum is σ = 289431037728000. Its totient is φ = 15715247063040.

The previous prime is 68456194156787. The next prime is 68456194156837. The reversal of 68456194156800 is 865149165486.

68456194156800 is a `hidden beast` number, since 6 + 8 + 4 + 5 + 61 + 9 + 4 + 1 + 568 + 0 + 0 = 666.

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

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, 1618596454 + ... + 1618638746.

It is an arithmetic number, because the mean of its divisors is an integer number (167494813500).

Almost surely, 2^{68456194156800} is an apocalyptic number.

68456194156800 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 68456194156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144715518864000).

68456194156800 is an abundant number, since it is smaller than the sum of its proper divisors (220974843571200).

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

68456194156800 is a wasteful number, since it uses less digits than its factorization.

68456194156800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42393 (or 42368 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 68456194156800 in words is "sixty-eight trillion, four hundred fifty-six billion, one hundred ninety-four million, one hundred fifty-six thousand, eight hundred".