68491175961600 has 924 divisors, whose sum is σ = 290910638178304. Its totient is φ = 15655096074240.

The previous prime is 68491175961589. The next prime is 68491175961623. The reversal of 68491175961600 is 616957119486.

68491175961600 is a `hidden beast` number, since 6 + 8 + 4 + 9 + 1 + 1 + 7 + 5 + 9 + 616 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 130374657 + ... + 130898943.

Almost surely, 2^{68491175961600} is an apocalyptic number.

68491175961600 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 68491175961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145455319089152).

68491175961600 is an abundant number, since it is smaller than the sum of its proper divisors (222419462216704).

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

68491175961600 is an equidigital number, since it uses as much as digits as its factorization.

68491175961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524342 (or 524304 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The spelling of 68491175961600 in words is "sixty-eight trillion, four hundred ninety-one billion, one hundred seventy-five million, nine hundred sixty-one thousand, six hundred".