68790542284800 has 576 divisors, whose sum is σ = 288777004588800. Its totient is φ = 15723550310400.

The previous prime is 68790542284799. The next prime is 68790542284829. The reversal of 68790542284800 is 848224509786.

68790542284800 is a `hidden beast` number, since 6 + 8 + 7 + 9 + 0 + 542 + 2 + 8 + 4 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×68790542284800² (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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6122395 + ... + 13231205.

It is an arithmetic number, because the mean of its divisors is an integer number (501348966300).

Almost surely, 2^{68790542284800} is an apocalyptic number.

68790542284800 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 68790542284800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144388502294400).

68790542284800 is an abundant number, since it is smaller than the sum of its proper divisors (219986462304000).

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

68790542284800 is a wasteful number, since it uses less digits than its factorization.

68790542284800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108859 (or 7108828 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 68790542284800 in words is "sixty-eight trillion, seven hundred ninety billion, five hundred forty-two million, two hundred eighty-four thousand, eight hundred".