67852000200 has 192 divisors, whose sum is σ = 218791710720. Its totient is φ = 17375904000.

The previous prime is 67852000141. The next prime is 67852000217. The reversal of 67852000200 is 200025876.

It is a super-2 number, since 2×67852000200² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 2422677 + ... + 2450523.

It is an arithmetic number, because the mean of its divisors is an integer number (1139540160).

Almost surely, 2^67852000200 is an apocalyptic number.

67852000200 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

67852000200 is the 139235-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67852000200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109395855360).

67852000200 is an abundant number, since it is smaller than the sum of its proper divisors (150939710520).

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

67852000200 is a wasteful number, since it uses less digits than its factorization.

67852000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28028 (or 28019 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 67852000200 in words is "sixty-seven billion, eight hundred fifty-two million, two hundred", and thus it is an aban number.