67072988304 has 720 divisors, whose sum is σ = 240315618816. Its totient is φ = 18027878400.

The previous prime is 67072988303. The next prime is 67072988329. The reversal of 67072988304 is 40388927076.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (67072988303) 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 143 ways as a sum of consecutive naturals, for example, 242140614 + ... + 242140890.

Almost surely, 2^67072988304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67072988304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120157809408).

67072988304 is an abundant number, since it is smaller than the sum of its proper divisors (173242630512).

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

67072988304 is a wasteful number, since it uses less digits than its factorization.

67072988304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 67072988304 in words is "sixty-seven billion, seventy-two million, nine hundred eighty-eight thousand, three hundred four".