67782673800 has 192 divisors, whose sum is σ = 234346608000. Its totient is φ = 18007799040.

The previous prime is 67782673771. The next prime is 67782673801. The reversal of 67782673800 is 837628776.

It is a super-3 number, since 3×67782673800³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (67782673801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1429269 + ... + 1475931.

It is an arithmetic number, because the mean of its divisors is an integer number (1220555250).

Almost surely, 2^67782673800 is an apocalyptic number.

67782673800 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 67782673800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117173304000).

67782673800 is an abundant number, since it is smaller than the sum of its proper divisors (166563934200).

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

67782673800 is a wasteful number, since it uses less digits than its factorization.

67782673800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46957 (or 46942 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 67782673800 in words is "sixty-seven billion, seven hundred eighty-two million, six hundred seventy-three thousand, eight hundred".