67673976832000 has 2048 divisors, whose sum is σ = 223771092480000. Its totient is φ = 20230963200000.

The previous prime is 67673976831991. The next prime is 67673976832037. The reversal of 67673976832000 is 23867937676.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448172031925 + ... + 448172032075.

It is an arithmetic number, because the mean of its divisors is an integer number (109263228750).

Almost surely, 2^{67673976832000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67673976832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111885546240000).

67673976832000 is an abundant number, since it is smaller than the sum of its proper divisors (156097115648000).

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

67673976832000 is an equidigital number, since it uses as much as digits as its factorization.

67673976832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 64.

The spelling of 67673976832000 in words is "sixty-seven trillion, six hundred seventy-three billion, nine hundred seventy-six million, eight hundred thirty-two thousand".