67727690956800 has 2592 divisors, whose sum is σ = 298168578489600. Its totient is φ = 14911128207360.

The previous prime is 67727690956763. The next prime is 67727690956837. The reversal of 67727690956800 is 865909672776.

It is an interprime number because it is at equal distance from previous prime (67727690956763) and next prime (67727690956837).

It is a tau number, because it is divible by the number of its divisors (2592).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 143 ways as a sum of consecutive naturals, for example, 161641266991 + ... + 161641267409.

It is an arithmetic number, because the mean of its divisors is an integer number (115034173800).

Almost surely, 2^{67727690956800} is an apocalyptic number.

67727690956800 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 67727690956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149084289244800).

67727690956800 is an abundant number, since it is smaller than the sum of its proper divisors (230440887532800).

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

67727690956800 is an frugal number, since it uses more digits than its factorization.

67727690956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 480090240, while the sum is 72.

The spelling of 67727690956800 in words is "sixty-seven trillion, seven hundred twenty-seven billion, six hundred ninety million, nine hundred fifty-six thousand, eight hundred".