67950028800 has 432 divisors, whose sum is σ = 245087125920. Its totient is φ = 17991106560.

The previous prime is 67950028799. The next prime is 67950028801. The reversal of 67950028800 is 882005976.

67950028800 is a `hidden beast` number, since 67 + 9 + 500 + 2 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (67950028799) and next prime (67950028801).

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

It is not an unprimeable number, because it can be changed into a prime (67950028801) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 76953159 + ... + 76954041.

It is an arithmetic number, because the mean of its divisors is an integer number (567331310).

Almost surely, 2^67950028800 is an apocalyptic number.

67950028800 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 67950028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122543562960).

67950028800 is an abundant number, since it is smaller than the sum of its proper divisors (177137097120).

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

67950028800 is a wasteful number, since it uses less digits than its factorization.

67950028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1060 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 67950028800 in words is "sixty-seven billion, nine hundred fifty million, twenty-eight thousand, eight hundred".