67465128661200 has 720 divisors, whose sum is σ = 236855466619200. Its totient is φ = 17782452633600.

The previous prime is 67465128661193. The next prime is 67465128661201. The reversal of 67465128661200 is 216682156476.

67465128661200 is a `hidden beast` number, since 6 + 7 + 4 + 6 + 5 + 12 + 8 + 6 + 612 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67465128661201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108990514491 + ... + 108990515109.

It is an arithmetic number, because the mean of its divisors is an integer number (328965925860).

Almost surely, 2^{67465128661200} is an apocalyptic number.

67465128661200 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 67465128661200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118427733309600).

67465128661200 is an abundant number, since it is smaller than the sum of its proper divisors (169390337958000).

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

67465128661200 is a wasteful number, since it uses less digits than its factorization.

67465128661200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 67465128661200 in words is "sixty-seven trillion, four hundred sixty-five billion, one hundred twenty-eight million, six hundred sixty-one thousand, two hundred".