68272702787520 has 2016 divisors, whose sum is σ = 307514573184000. Its totient is φ = 14112536739840.

The previous prime is 68272702787491. The next prime is 68272702787557. The reversal of 68272702787520 is 2578720727286.

68272702787520 is a `hidden beast` number, since 6 + 8 + 2 + 7 + 2 + 7 + 0 + 27 + 87 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×68272702787520² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13106678676 + ... + 13106683884.

Almost surely, 2^{68272702787520} is an apocalyptic number.

68272702787520 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 68272702787520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153757286592000).

68272702787520 is an abundant number, since it is smaller than the sum of its proper divisors (239241870396480).

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

68272702787520 is a wasteful number, since it uses less digits than its factorization.

68272702787520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5469 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 73758720, while the sum is 63.

The spelling of 68272702787520 in words is "sixty-eight trillion, two hundred seventy-two billion, seven hundred two million, seven hundred eighty-seven thousand, five hundred twenty".