66871156800 has 336 divisors, whose sum is σ = 261639539712. Its totient is φ = 14620108800.

The previous prime is 66871156799. The next prime is 66871156843. The reversal of 66871156800 is 865117866.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×66871156800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 66871156800.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 729535 + ... + 816065.

Almost surely, 2^66871156800 is an apocalyptic number.

66871156800 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 66871156800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130819769856).

66871156800 is an abundant number, since it is smaller than the sum of its proper divisors (194768382912).

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

66871156800 is a wasteful number, since it uses less digits than its factorization.

66871156800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86586 (or 86571 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 66871156800 in words is "sixty-six billion, eight hundred seventy-one million, one hundred fifty-six thousand, eight hundred".