67983701760 has 1728 divisors, whose sum is σ = 296987378688. Its totient is φ = 14714929152.

The previous prime is 67983701749. The next prime is 67983701761. The reversal of 67983701760 is 6710738976.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 67983701697 and 67983701706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67983701761) 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 191 ways as a sum of consecutive naturals, for example, 1581016299 + ... + 1581016341.

It is an arithmetic number, because the mean of its divisors is an integer number (171867696).

Almost surely, 2^67983701760 is an apocalyptic number.

67983701760 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 67983701760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148493689344).

67983701760 is an abundant number, since it is smaller than the sum of its proper divisors (229003676928).

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

67983701760 is a wasteful number, since it uses less digits than its factorization.

67983701760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2667168, while the sum is 54.

The spelling of 67983701760 in words is "sixty-seven billion, nine hundred eighty-three million, seven hundred one thousand, seven hundred sixty".