68380277760 has 1056 divisors, whose sum is σ = 269419131072. Its totient is φ = 16562257920.

The previous prime is 68380277737. The next prime is 68380277789. The reversal of 68380277760 is 6777208386.

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 = 68380277697 and 68380277706.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1120988130 + ... + 1120988190.

Almost surely, 2^68380277760 is an apocalyptic number.

68380277760 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 68380277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134709565536).

68380277760 is an abundant number, since it is smaller than the sum of its proper divisors (201038853312).

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

68380277760 is a wasteful number, since it uses less digits than its factorization.

68380277760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 68380277760 in words is "sixty-eight billion, three hundred eighty million, two hundred seventy-seven thousand, seven hundred sixty".