68003904616704 has 1053 divisors, whose sum is σ = 239224413729441. Its totient is φ = 19237313894400.

The previous prime is 68003904616693. The next prime is 68003904616733. The reversal of 68003904616704 is 40761640930086.

The square root of 68003904616704 is 8246448.

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

68003904616704 is a `hidden beast` number, since 6 + 80 + 0 + 39 + 0 + 461 + 6 + 70 + 4 = 666.

68003904616704 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 65337346255104 + 2666558361600 = 8083152^2 + 1632960^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 116 ways as a sum of consecutive naturals, for example, 673305986254 + ... + 673305986354.

Almost surely, 2^{68003904616704} is an apocalyptic number.

68003904616704 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

68003904616704 is the 8246448-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68003904616704

68003904616704 is an abundant number, since it is smaller than the sum of its proper divisors (171220509112737).

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

68003904616704 is an frugal number, since it uses more digits than its factorization.

68003904616704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 68003904616704 in words is "sixty-eight trillion, three billion, nine hundred four million, six hundred sixteen thousand, seven hundred four".