68277800448 has 800 divisors, whose sum is σ = 248298795360. Its totient is φ = 18393661440.

The previous prime is 68277800441. The next prime is 68277800449. The reversal of 68277800448 is 84400877286.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 68277800394 and 68277800403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68277800441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 171984186 + ... + 171984582.

Almost surely, 2^68277800448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68277800448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124149397680).

68277800448 is an abundant number, since it is smaller than the sum of its proper divisors (180020994912).

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

68277800448 is a wasteful number, since it uses less digits than its factorization.

68277800448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 68277800448 in words is "sixty-eight billion, two hundred seventy-seven million, eight hundred thousand, four hundred forty-eight".