68628668663808 has 1920 divisors, whose sum is σ = 248644940544000. Its totient is φ = 18614385377280.

The previous prime is 68628668663801. The next prime is 68628668663809. The reversal of 68628668663808 is 80836686682686.

68628668663808 is a `hidden beast` number, since 6 + 86 + 2 + 86 + 6 + 86 + 6 + 380 + 8 = 666.

It is a super-2 number, since 2×68628668663808² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (68628668663801) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 70970701341 + ... + 70970702307.

It is an arithmetic number, because the mean of its divisors is an integer number (129502573200).

Almost surely, 2^{68628668663808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68628668663808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124322470272000).

68628668663808 is an abundant number, since it is smaller than the sum of its proper divisors (180016271880192).

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

68628668663808 is a wasteful number, since it uses less digits than its factorization.

68628668663808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 9172942848, while the sum is 81.

The spelling of 68628668663808 in words is "sixty-eight trillion, six hundred twenty-eight billion, six hundred sixty-eight million, six hundred sixty-three thousand, eight hundred eight".