67004054378976 has 384 divisors, whose sum is σ = 209701313579520. Its totient is φ = 18465760051200.

The previous prime is 67004054378971. The next prime is 67004054379001. The reversal of 67004054378976 is 67987345040076.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67004054378971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 343225971 + ... + 343421133.

It is an arithmetic number, because the mean of its divisors is an integer number (546097170780).

Almost surely, 2^{67004054378976} is an apocalyptic number.

67004054378976 is a gapful number since it is divisible by the number (66) 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 67004054378976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104850656789760).

67004054378976 is an abundant number, since it is smaller than the sum of its proper divisors (142697259200544).

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

67004054378976 is a wasteful number, since it uses less digits than its factorization.

67004054378976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195570 (or 195562 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 66.

The spelling of 67004054378976 in words is "sixty-seven trillion, four billion, fifty-four million, three hundred seventy-eight thousand, nine hundred seventy-six".