668534294400 has 768 divisors, whose sum is σ = 2609575833600. Its totient is φ = 147205324800.

The previous prime is 668534294347. The next prime is 668534294429. The reversal of 668534294400 is 4492435866.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 560380204 + ... + 560381396.

It is an arithmetic number, because the mean of its divisors is an integer number (3397885200).

Almost surely, 2^668534294400 is an apocalyptic number.

668534294400 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 668534294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1304787916800).

668534294400 is an abundant number, since it is smaller than the sum of its proper divisors (1941041539200).

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

668534294400 is a wasteful number, since it uses less digits than its factorization.

668534294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 668534294400 in words is "six hundred sixty-eight billion, five hundred thirty-four million, two hundred ninety-four thousand, four hundred".