68290195046400 has 1440 divisors, whose sum is σ = 259561740596480. Its totient is φ = 17589117911040.

The previous prime is 68290195046303. The next prime is 68290195046419. The reversal of 68290195046400 is 464059109286.

68290195046400 is a `hidden beast` number, since 6 + 8 + 2 + 9 + 0 + 195 + 0 + 46 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64242892269 + ... + 64242893331.

Almost surely, 2^{68290195046400} is an apocalyptic number.

68290195046400 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 68290195046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129780870298240).

68290195046400 is an abundant number, since it is smaller than the sum of its proper divisors (191271545550080).

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

68290195046400 is a wasteful number, since it uses less digits than its factorization.

68290195046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1304 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 68290195046400 in words is "sixty-eight trillion, two hundred ninety billion, one hundred ninety-five million, forty-six thousand, four hundred".