67536829623240 has 1280 divisors, whose sum is σ = 246772256417280. Its totient is φ = 16505152634880.

The previous prime is 67536829623229. The next prime is 67536829623247. The reversal of 67536829623240 is 4232692863576.

67536829623240 is a `hidden beast` number, since 6 + 7 + 5 + 368 + 2 + 9 + 6 + 23 + 240 = 666.

It is a super-2 number, since 2×67536829623240² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67536829623247) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 194630632747 + ... + 194630633093.

It is an arithmetic number, because the mean of its divisors is an integer number (192790825326).

Almost surely, 2^{67536829623240} is an apocalyptic number.

67536829623240 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 67536829623240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123386128208640).

67536829623240 is an abundant number, since it is smaller than the sum of its proper divisors (179235426794040).

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

67536829623240 is a wasteful number, since it uses less digits than its factorization.

67536829623240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 932 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 67536829623240 in words is "sixty-seven trillion, five hundred thirty-six billion, eight hundred twenty-nine million, six hundred twenty-three thousand, two hundred forty".