67682304000 has 864 divisors, whose sum is σ = 267939506016. Its totient is φ = 16986931200.

The previous prime is 67682303993. The next prime is 67682304007. The reversal of 67682304000 is 40328676.

It is an interprime number because it is at equal distance from previous prime (67682303993) and next prime (67682304007).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67682304007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3981311992 + ... + 3981312008.

It is an arithmetic number, because the mean of its divisors is an integer number (310115169).

Almost surely, 2^67682304000 is an apocalyptic number.

67682304000 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 67682304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133969753008).

67682304000 is an abundant number, since it is smaller than the sum of its proper divisors (200257202016).

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

67682304000 is an frugal number, since it uses more digits than its factorization.

67682304000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 67682304000 in words is "sixty-seven billion, six hundred eighty-two million, three hundred four thousand".