68126516561376 has 1344 divisors, whose sum is σ = 256103548194816. Its totient is φ = 17345730355200.

The previous prime is 68126516561353. The next prime is 68126516561377. The reversal of 68126516561376 is 67316561562186.

68126516561376 is a `hidden beast` number, since 6 + 8 + 1 + 2 + 6 + 5 + 1 + 6 + 5 + 613 + 7 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68126516561377) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 34286117055 + ... + 34286119041.

It is an arithmetic number, because the mean of its divisors is an integer number (190553235264).

Almost surely, 2^{68126516561376} 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 68126516561376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128051774097408).

68126516561376 is an abundant number, since it is smaller than the sum of its proper divisors (187977031633440).

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

68126516561376 is a wasteful number, since it uses less digits than its factorization.

68126516561376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2587 (or 2564 counting only the distinct ones).

The product of its digits is 65318400, while the sum is 63.

The spelling of 68126516561376 in words is "sixty-eight trillion, one hundred twenty-six billion, five hundred sixteen million, five hundred sixty-one thousand, three hundred seventy-six".