68290787102976 has 243 divisors, whose sum is σ = 198880156707141. Its totient is φ = 22536836370432.

The previous prime is 68290787102969. The next prime is 68290787103059. The reversal of 68290787102976 is 67920178709286.

The square root of 68290787102976 is 8263824.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 66771385733376 + 1519401369600 = 8171376^2 + 1232640^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 42442999260 + ... + 42443000868.

Almost surely, 2^{68290787102976} is an apocalyptic number.

68290787102976 is the 8263824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68290787102976

68290787102976 is an abundant number, since it is smaller than the sum of its proper divisors (130589369604165).

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

68290787102976 is an frugal number, since it uses more digits than its factorization.

68290787102976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 256048128, while the sum is 72.

The spelling of 68290787102976 in words is "sixty-eight trillion, two hundred ninety billion, seven hundred eighty-seven million, one hundred two thousand, nine hundred seventy-six".