666683553600 has 504 divisors, whose sum is σ = 2424299025408. Its totient is φ = 173717913600.

The previous prime is 666683553551. The next prime is 666683553611. The reversal of 666683553600 is 6355386666.

It is a super-3 number, since 3×666683553600³ (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122526880 + ... + 122532320.

Almost surely, 2^666683553600 is an apocalyptic number.

666683553600 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 666683553600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212149512704).

666683553600 is an abundant number, since it is smaller than the sum of its proper divisors (1757615471808).

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

666683553600 is a wasteful number, since it uses less digits than its factorization.

666683553600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5663 (or 5645 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 54.

The spelling of 666683553600 in words is "six hundred sixty-six billion, six hundred eighty-three million, five hundred fifty-three thousand, six hundred".