67488949592064 has 2016 divisors, whose sum is σ = 273599434268160. Its totient is φ = 16175911403520.

The previous prime is 67488949592027. The next prime is 67488949592101. The reversal of 67488949592064 is 46029594988476.

67488949592064 is a `hidden beast` number, since 6 + 7 + 48 + 8 + 9 + 495 + 9 + 20 + 64 = 666.

67488949592064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (67488949592027) and next prime (67488949592101).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×67488949592064³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21919111677 + ... + 21919114755.

Almost surely, 2^{67488949592064} is an apocalyptic number.

67488949592064 is a gapful number since it is divisible by the number (64) 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 67488949592064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136799717134080).

67488949592064 is an abundant number, since it is smaller than the sum of its proper divisors (206110484676096).

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

67488949592064 is a wasteful number, since it uses less digits than its factorization.

67488949592064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 7524679680, while the sum is 81.

The spelling of 67488949592064 in words is "sixty-seven trillion, four hundred eighty-eight billion, nine hundred forty-nine million, five hundred ninety-two thousand, sixty-four".