668314778033280 has 1536 divisors, whose sum is σ = 2596000793886720. Its totient is φ = 145637852774400.

The previous prime is 668314778033261. The next prime is 668314778033333. The reversal of 668314778033280 is 82330877413866.

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 191 ways as a sum of consecutive naturals, for example, 316586819425 + ... + 316586821535.

It is an arithmetic number, because the mean of its divisors is an integer number (1690104683520).

Almost surely, 2^{668314778033280} is an apocalyptic number.

668314778033280 is a gapful number since it is divisible by the number (60) 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 668314778033280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298000396943360).

668314778033280 is an abundant number, since it is smaller than the sum of its proper divisors (1927686015853440).

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

668314778033280 is a wasteful number, since it uses less digits than its factorization.

668314778033280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 195084288, while the sum is 66.

The spelling of 668314778033280 in words is "six hundred sixty-eight trillion, three hundred fourteen billion, seven hundred seventy-eight million, thirty-three thousand, two hundred eighty".