68186559780864 has 1536 divisors, whose sum is σ = 254991679488000. Its totient is φ = 17564752281600.

The previous prime is 68186559780853. The next prime is 68186559780907. The reversal of 68186559780864 is 46808795568186.

68186559780864 is a `hidden beast` number, since 6 + 8 + 18 + 6 + 5 + 597 + 8 + 0 + 8 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13907107437 + ... + 13907112339.

It is an arithmetic number, because the mean of its divisors is an integer number (166010208000).

Almost surely, 2^{68186559780864} is an apocalyptic number.

68186559780864 is a gapful number since it is divisible by the number (64) 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 68186559780864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127495839744000).

68186559780864 is an abundant number, since it is smaller than the sum of its proper divisors (186805119707136).

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

68186559780864 is a wasteful number, since it uses less digits than its factorization.

68186559780864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5052 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 5573836800, while the sum is 81.

The spelling of 68186559780864 in words is "sixty-eight trillion, one hundred eighty-six billion, five hundred fifty-nine million, seven hundred eighty thousand, eight hundred sixty-four".