68662721926656 has 1440 divisors, whose sum is σ = 249827864457600. Its totient is φ = 17943136174080.

The previous prime is 68662721926651. The next prime is 68662721926663. The reversal of 68662721926656 is 65662912726686.

68662721926656 is a `hidden beast` number, since 6 + 8 + 66 + 272 + 192 + 66 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68662721926651) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11881416375 + ... + 11881422153.

It is an arithmetic number, because the mean of its divisors is an integer number (173491572540).

Almost surely, 2^{68662721926656} is an apocalyptic number.

68662721926656 is a gapful number since it is divisible by the number (66) 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 68662721926656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124913932228800).

68662721926656 is an abundant number, since it is smaller than the sum of its proper divisors (181165142530944).

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

68662721926656 is a wasteful number, since it uses less digits than its factorization.

68662721926656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5932 (or 5900 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 68662721926656 in words is "sixty-eight trillion, six hundred sixty-two billion, seven hundred twenty-one million, nine hundred twenty-six thousand, six hundred fifty-six".