67114289664000 has 2496 divisors, whose sum is σ = 267756938392320. Its totient is φ = 16580660428800.

The previous prime is 67114289663929. The next prime is 67114289664029. The reversal of 67114289664000 is 46698241176.

67114289664000 is a `hidden beast` number, since 6 + 7 + 1 + 142 + 8 + 96 + 6 + 400 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 427479551922 + ... + 427479552078.

It is an arithmetic number, because the mean of its divisors is an integer number (107274414420).

Almost surely, 2^{67114289664000} is an apocalyptic number.

67114289664000 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 67114289664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133878469196160).

67114289664000 is an abundant number, since it is smaller than the sum of its proper divisors (200642648728320).

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

67114289664000 is a wasteful number, since it uses less digits than its factorization.

67114289664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 67114289664000 in words is "sixty-seven trillion, one hundred fourteen billion, two hundred eighty-nine million, six hundred sixty-four thousand".