68627461351680 has 1080 divisors, whose sum is σ = 308474479110336. Its totient is φ = 14260233461760.

The previous prime is 68627461351601. The next prime is 68627461351699. The reversal of 68627461351680 is 8615316472686.

68627461351680 is a `hidden beast` number, since 6 + 8 + 6 + 2 + 7 + 4 + 613 + 5 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 87426219 + ... + 88207701.

Almost surely, 2^{68627461351680} is an apocalyptic number.

68627461351680 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 68627461351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154237239555168).

68627461351680 is an abundant number, since it is smaller than the sum of its proper divisors (239847017758656).

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

68627461351680 is a wasteful number, since it uses less digits than its factorization.

68627461351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781545 (or 781511 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 68627461351680 in words is "sixty-eight trillion, six hundred twenty-seven billion, four hundred sixty-one million, three hundred fifty-one thousand, six hundred eighty".