67197853096416 has 144 divisors (see below), whose sum is σ = 220644497664864. Its totient is φ = 19001454723072.

The previous prime is 67197853096373. The next prime is 67197853096417. The reversal of 67197853096416 is 61469035879176.

67197853096416 is a `hidden beast` number, since 6 + 7 + 1 + 9 + 78 + 53 + 0 + 96 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 (67197853096417) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171620265 + ... + 172011368.

It is an arithmetic number, because the mean of its divisors is an integer number (1532253456006).

Almost surely, 2^{67197853096416} is an apocalyptic number.

It is an amenable number.

67197853096416 is an abundant number, since it is smaller than the sum of its proper divisors (153446644568448).

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

67197853096416 is a wasteful number, since it uses less digits than its factorization.

67197853096416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343631753 (or 343631742 counting only the distinct ones).

The product of its (nonzero) digits is 411505920, while the sum is 72.

The spelling of 67197853096416 in words is "sixty-seven trillion, one hundred ninety-seven billion, eight hundred fifty-three million, ninety-six thousand, four hundred sixteen".