67779097288896 has 224 divisors, whose sum is σ = 205385005048320. Its totient is φ = 19324496830464.

The previous prime is 67779097288853. The next prime is 67779097288937. The reversal of 67779097288896 is 69888279097776.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 1311413071 + ... + 1311464753.

Almost surely, 2^{67779097288896} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67779097288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102692502524160).

67779097288896 is an abundant number, since it is smaller than the sum of its proper divisors (137605907759424).

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

67779097288896 is a wasteful number, since it uses less digits than its factorization.

67779097288896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53751 (or 53741 counting only the distinct ones).

The product of its (nonzero) digits is 64524128256, while the sum is 93.

The spelling of 67779097288896 in words is "sixty-seven trillion, seven hundred seventy-nine billion, ninety-seven million, two hundred eighty-eight thousand, eight hundred ninety-six".