68389419571200 has 4608 divisors, whose sum is σ = 331428087244800. Its totient is φ = 13412880875520.

The previous prime is 68389419571141. The next prime is 68389419571271. The reversal of 68389419571200 is 217591498386.

68389419571200 is a `hidden beast` number, since 6 + 8 + 3 + 8 + 9 + 419 + 5 + 7 + 1 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

It is a super-2 number, since 2×68389419571200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 241658726259 + ... + 241658726541.

It is an arithmetic number, because the mean of its divisors is an integer number (71924498100).

It is a 1-persistent number, because it is pandigital, but 2⋅68389419571200 = 136778839142400 is not.

Almost surely, 2^{68389419571200} is an apocalyptic number.

68389419571200 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 68389419571200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165714043622400).

68389419571200 is an abundant number, since it is smaller than the sum of its proper divisors (263038667673600).

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

68389419571200 is a wasteful number, since it uses less digits than its factorization.

68389419571200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 68389419571200 in words is "sixty-eight trillion, three hundred eighty-nine billion, four hundred nineteen million, five hundred seventy-one thousand, two hundred".