67128652800 has 1056 divisors, whose sum is σ = 274743427200. Its totient is φ = 16124313600.

The previous prime is 67128652751. The next prime is 67128652813. The reversal of 67128652800 is 825682176.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 615859146 + ... + 615859254.

It is an arithmetic number, because the mean of its divisors is an integer number (260173700).

Almost surely, 2^67128652800 is an apocalyptic number.

67128652800 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 67128652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137371713600).

67128652800 is an abundant number, since it is smaller than the sum of its proper divisors (207614774400).

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

67128652800 is a wasteful number, since it uses less digits than its factorization.

67128652800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 67128652800 in words is "sixty-seven billion, one hundred twenty-eight million, six hundred fifty-two thousand, eight hundred".