6668919650400 has 288 divisors, whose sum is σ = 26267698759680. Its totient is φ = 1434658283520.

The previous prime is 6668919650389. The next prime is 6668919650429. The reversal of 6668919650400 is 40569198666.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 11389680 + ... + 11960879.

It is an arithmetic number, because the mean of its divisors is an integer number (91207287360).

Almost surely, 2^{6668919650400} is an apocalyptic number.

6668919650400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6668919650400 is an abundant number, since it is smaller than the sum of its proper divisors (19598779109280).

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

6668919650400 is a wasteful number, since it uses less digits than its factorization.

6668919650400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23350606 (or 23350593 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 60.

The spelling of 6668919650400 in words is "six trillion, six hundred sixty-eight billion, nine hundred nineteen million, six hundred fifty thousand, four hundred".