67348821399552 has 1152 divisors, whose sum is σ = 261343534233600. Its totient is φ = 16928671334400.

The previous prime is 67348821399551. The next prime is 67348821399571. The reversal of 67348821399552 is 25599312884376.

67348821399552 is a `hidden beast` number, since 6 + 7 + 3 + 48 + 8 + 21 + 3 + 9 + 9 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67348821399551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 923904418 + ... + 923977310.

It is an arithmetic number, because the mean of its divisors is an integer number (226860706800).

Almost surely, 2^{67348821399552} is an apocalyptic number.

67348821399552 is a gapful number since it is divisible by the number (62) 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 67348821399552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130671767116800).

67348821399552 is an abundant number, since it is smaller than the sum of its proper divisors (193994712834048).

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

67348821399552 is a wasteful number, since it uses less digits than its factorization.

67348821399552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72980 (or 72947 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 67348821399552 in words is "sixty-seven trillion, three hundred forty-eight billion, eight hundred twenty-one million, three hundred ninety-nine thousand, five hundred fifty-two".