68277344256 has 960 divisors, whose sum is σ = 246590023680. Its totient is φ = 18579456000.

The previous prime is 68277344243. The next prime is 68277344263. The reversal of 68277344256 is 65244377286.

68277344256 is a `hidden beast` number, since 6 + 8 + 277 + 344 + 25 + 6 = 666.

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

Its product of digits (13547520) is a multiple of the sum of its prime divisors (135).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 961652701 + ... + 961652771.

It is an arithmetic number, because the mean of its divisors is an integer number (256864608).

Almost surely, 2^68277344256 is an apocalyptic number.

68277344256 is a gapful number since it is divisible by the number (66) 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 68277344256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123295011840).

68277344256 is an abundant number, since it is smaller than the sum of its proper divisors (178312679424).

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

68277344256 is a wasteful number, since it uses less digits than its factorization.

68277344256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 68277344256 in words is "sixty-eight billion, two hundred seventy-seven million, three hundred forty-four thousand, two hundred fifty-six".