67200736320 has 448 divisors, whose sum is σ = 242157991680. Its totient is φ = 17759139840.

The previous prime is 67200736319. The next prime is 67200736327. The reversal of 67200736320 is 2363700276.

67200736320 is a `hidden beast` number, since 67 + 200 + 73 + 6 + 320 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (67200736327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91678674 + ... + 91679406.

Almost surely, 2^67200736320 is an apocalyptic number.

67200736320 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 67200736320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121078995840).

67200736320 is an abundant number, since it is smaller than the sum of its proper divisors (174957255360).

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

67200736320 is an equidigital number, since it uses as much as digits as its factorization.

67200736320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 902 (or 874 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The spelling of 67200736320 in words is "sixty-seven billion, two hundred million, seven hundred thirty-six thousand, three hundred twenty".