67450060800 has 900 divisors, whose sum is σ = 265483476720. Its totient is φ = 16880762880.

The previous prime is 67450060759. The next prime is 67450060817. The reversal of 67450060800 is 806005476.

It is a happy number.

67450060800 is a `hidden beast` number, since 6 + 7 + 45 + 0 + 0 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 630374347 + ... + 630374453.

Almost surely, 2^67450060800 is an apocalyptic number.

67450060800 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 67450060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132741738360).

67450060800 is an abundant number, since it is smaller than the sum of its proper divisors (198033415920).

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

67450060800 is a wasteful number, since it uses less digits than its factorization.

67450060800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 67450060800 in words is "sixty-seven billion, four hundred fifty million, sixty thousand, eight hundred".