668202487200 has 216 divisors, whose sum is σ = 2359439173728. Its totient is φ = 177946083840.

The previous prime is 668202487103. The next prime is 668202487283. The reversal of 668202487200 is 2784202866.

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 35 ways as a sum of consecutive naturals, for example, 5287147 + ... + 5412053.

It is an arithmetic number, because the mean of its divisors is an integer number (10923329508).

Almost surely, 2^668202487200 is an apocalyptic number.

668202487200 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 668202487200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179719586864).

668202487200 is an abundant number, since it is smaller than the sum of its proper divisors (1691236686528).

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

668202487200 is a wasteful number, since it uses less digits than its factorization.

668202487200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125676 (or 125660 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 668202487200 in words is "six hundred sixty-eight billion, two hundred two million, four hundred eighty-seven thousand, two hundred".