68658101487360 has 2592 divisors, whose sum is σ = 318559461921792. Its totient is φ = 13995625512960.

The previous prime is 68658101487317. The next prime is 68658101487373. The reversal of 68658101487360 is 6378410185686.

68658101487360 is a `hidden beast` number, since 6 + 8 + 6 + 581 + 0 + 1 + 48 + 7 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

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 287 ways as a sum of consecutive naturals, for example, 8885475817 + ... + 8885483543.

It is an arithmetic number, because the mean of its divisors is an integer number (122901026976).

Almost surely, 2^{68658101487360} is an apocalyptic number.

68658101487360 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 68658101487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159279730960896).

68658101487360 is an abundant number, since it is smaller than the sum of its proper divisors (249901360434432).

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

68658101487360 is a wasteful number, since it uses less digits than its factorization.

68658101487360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7841 (or 7808 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 68658101487360 in words is "sixty-eight trillion, six hundred fifty-eight billion, one hundred one million, four hundred eighty-seven thousand, three hundred sixty".