68604089097600 has 1536 divisors, whose sum is σ = 304317193881600. Its totient is φ = 14734287175680.

The previous prime is 68604089097589. The next prime is 68604089097637. The reversal of 68604089097600 is 679098040686.

68604089097600 is a `hidden beast` number, since 6 + 86 + 0 + 408 + 9 + 0 + 97 + 60 + 0 = 666.

It is a super-2 number, since 2×68604089097600² (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 191 ways as a sum of consecutive naturals, for example, 6652190044 + ... + 6652200356.

It is an arithmetic number, because the mean of its divisors is an integer number (198123173100).

Almost surely, 2^{68604089097600} is an apocalyptic number.

68604089097600 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 68604089097600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152158596940800).

68604089097600 is an abundant number, since it is smaller than the sum of its proper divisors (235713104784000).

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

68604089097600 is a wasteful number, since it uses less digits than its factorization.

68604089097600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11017 (or 10994 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 68604089097600 in words is "sixty-eight trillion, six hundred four billion, eighty-nine million, ninety-seven thousand, six hundred".