68767484544 has 256 divisors, whose sum is σ = 222035558400. Its totient is φ = 20779822080.

The previous prime is 68767484519. The next prime is 68767484563. The reversal of 68767484544 is 44548476786.

68767484544 is a `hidden beast` number, since 6 + 8 + 7 + 6 + 7 + 4 + 84 + 544 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14557767 + ... + 14562489.

It is an arithmetic number, because the mean of its divisors is an integer number (867326400).

Almost surely, 2^68767484544 is an apocalyptic number.

68767484544 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 68767484544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111017779200).

68767484544 is an abundant number, since it is smaller than the sum of its proper divisors (153268073856).

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

68767484544 is a wasteful number, since it uses less digits than its factorization.

68767484544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5140 (or 5122 counting only the distinct ones).

The product of its digits is 144506880, while the sum is 63.

The spelling of 68767484544 in words is "sixty-eight billion, seven hundred sixty-seven million, four hundred eighty-four thousand, five hundred forty-four".