68755506462720 has 3456 divisors, whose sum is σ = 317586454214400. Its totient is φ = 14126331985920.

The previous prime is 68755506462707. The next prime is 68755506462737. The reversal of 68755506462720 is 2726460555786.

68755506462720 is a `hidden beast` number, since 6 + 8 + 7 + 5 + 550 + 6 + 4 + 6 + 2 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 772533780436 + ... + 772533780524.

It is an arithmetic number, because the mean of its divisors is an integer number (91894228650).

Almost surely, 2^{68755506462720} is an apocalyptic number.

68755506462720 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 68755506462720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158793227107200).

68755506462720 is an abundant number, since it is smaller than the sum of its proper divisors (248830947751680).

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

68755506462720 is an frugal number, since it uses more digits than its factorization.

68755506462720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 169344000, while the sum is 63.

The spelling of 68755506462720 in words is "sixty-eight trillion, seven hundred fifty-five billion, five hundred six million, four hundred sixty-two thousand, seven hundred twenty".