68546768782464 has 384 divisors, whose sum is σ = 229544440894080. Its totient is φ = 19228436398080.

The previous prime is 68546768782451. The next prime is 68546768782487. The reversal of 68546768782464 is 46428786764586.

68546768782464 is a `hidden beast` number, since 6 + 8 + 5 + 4 + 6 + 76 + 8 + 7 + 82 + 464 = 666.

68546768782464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×68546768782464² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268944112 + ... + 269198864.

It is an arithmetic number, because the mean of its divisors is an integer number (597771981495).

Almost surely, 2^{68546768782464} is an apocalyptic number.

68546768782464 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 68546768782464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114772220447040).

68546768782464 is an abundant number, since it is smaller than the sum of its proper divisors (160997672111616).

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

68546768782464 is a wasteful number, since it uses less digits than its factorization.

68546768782464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255388 (or 255373 counting only the distinct ones).

The product of its digits is 20808990720, while the sum is 81.

The spelling of 68546768782464 in words is "sixty-eight trillion, five hundred forty-six billion, seven hundred sixty-eight million, seven hundred eighty-two thousand, four hundred sixty-four".