67982311800 has 1008 divisors, whose sum is σ = 267865444800. Its totient is φ = 16012339200.

The previous prime is 67982311799. The next prime is 67982311811. The reversal of 67982311800 is 811328976.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 251 ways as a sum of consecutive naturals, for example, 763846156 + ... + 763846244.

Almost surely, 2^67982311800 is an apocalyptic number.

67982311800 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 67982311800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133932722400).

67982311800 is an abundant number, since it is smaller than the sum of its proper divisors (199883133000).

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

67982311800 is a wasteful number, since it uses less digits than its factorization.

67982311800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 67982311800 in words is "sixty-seven billion, nine hundred eighty-two million, three hundred eleven thousand, eight hundred".