67281269760 has 440 divisors, whose sum is σ = 245727300456. Its totient is φ = 17597399040.

The previous prime is 67281269753. The next prime is 67281269791. The reversal of 67281269760 is 6796218276.

It can be written as a sum of positive squares in 4 ways, for example, as 29265629184 + 38015640576 = 171072^2 + 194976^2 .

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 = 67281269697 and 67281269706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21978630 + ... + 21981690.

Almost surely, 2^67281269760 is an apocalyptic number.

67281269760 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 67281269760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122863650228).

67281269760 is an abundant number, since it is smaller than the sum of its proper divisors (178446030696).

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

67281269760 is a wasteful number, since it uses less digits than its factorization.

67281269760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3124 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 67281269760 in words is "sixty-seven billion, two hundred eighty-one million, two hundred sixty-nine thousand, seven hundred sixty".