660683363558400 has 6336 divisors, whose sum is σ = 3133226969972736. Its totient is φ = 129281163264000.

The previous prime is 660683363558377. The next prime is 660683363558447. The reversal of 660683363558400 is 4855363386066.

It is a happy number.

660683363558400 is a `hidden beast` number, since 6 + 6 + 0 + 6 + 8 + 3 + 36 + 3 + 558 + 40 + 0 = 666.

It is a super-3 number, since 3×660683363558400³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 1996022246235 + ... + 1996022246565.

Almost surely, 2^{660683363558400} is an apocalyptic number.

660683363558400 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 660683363558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566613484986368).

660683363558400 is an abundant number, since it is smaller than the sum of its proper divisors (2472543606414336).

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

660683363558400 is a wasteful number, since it uses less digits than its factorization.

660683363558400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 223948800, while the sum is 63.

The spelling of 660683363558400 in words is "six hundred sixty trillion, six hundred eighty-three billion, three hundred sixty-three million, five hundred fifty-eight thousand, four hundred".