668503962000 has 960 divisors, whose sum is σ = 2796831348480. Its totient is φ = 152191872000.

The previous prime is 668503961999. The next prime is 668503962073. The reversal of 668503962000 is 269305866.

It is a happy number.

668503962000 is a `hidden beast` number, since 6 + 6 + 8 + 50 + 396 + 200 + 0 = 666.

668503962000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 1235681730 + ... + 1235682270.

It is an arithmetic number, because the mean of its divisors is an integer number (2913365988).

Almost surely, 2^668503962000 is an apocalyptic number.

668503962000 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 668503962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1398415674240).

668503962000 is an abundant number, since it is smaller than the sum of its proper divisors (2128327386480).

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

668503962000 is a wasteful number, since it uses less digits than its factorization.

668503962000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054 (or 1025 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 668503962000 in words is "six hundred sixty-eight billion, five hundred three million, nine hundred sixty-two thousand".