67545297600 has 504 divisors, whose sum is σ = 257948271504. Its totient is φ = 15409152000.

The previous prime is 67545297569. The next prime is 67545297601. The reversal of 67545297600 is 679254576.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (67545297601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9870180 + ... + 9877020.

It is an arithmetic number, because the mean of its divisors is an integer number (511802126).

Almost surely, 2^67545297600 is an apocalyptic number.

67545297600 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 67545297600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128974135752).

67545297600 is an abundant number, since it is smaller than the sum of its proper divisors (190402973904).

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

67545297600 is a wasteful number, since it uses less digits than its factorization.

67545297600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6879 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 51.

The spelling of 67545297600 in words is "sixty-seven billion, five hundred forty-five million, two hundred ninety-seven thousand, six hundred".