668433254400 has 1440 divisors, whose sum is σ = 2764862100000. Its totient is φ = 158615470080.

The previous prime is 668433254399. The next prime is 668433254449. The reversal of 668433254400 is 4452334866.

668433254400 is a `hidden beast` number, since 6 + 68 + 43 + 3 + 2 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1339545351 + ... + 1339545849.

It is an arithmetic number, because the mean of its divisors is an integer number (1920043125).

Almost surely, 2^668433254400 is an apocalyptic number.

668433254400 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 668433254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382431050000).

668433254400 is an abundant number, since it is smaller than the sum of its proper divisors (2096428845600).

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

668433254400 is a wasteful number, since it uses less digits than its factorization.

668433254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 668433254400 in words is "six hundred sixty-eight billion, four hundred thirty-three million, two hundred fifty-four thousand, four hundred".