67002804801 has 21 divisors (see below), whose sum is σ = 100468731601. Its totient is φ = 44663877252.

The previous prime is 67002804763. The next prime is 67002804811. The reversal of 67002804801 is 10840820076.

The square root of 67002804801 is 258849.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 67002804801 - 2¹⁷ = 67002673729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67002804811) 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 20 ways as a sum of consecutive naturals, for example, 6984130 + ... + 6993716.

Almost surely, 2^67002804801 is an apocalyptic number.

67002804801 is the 258849-th square number.

67002804801 is the 129425-th centered octagonal number.

It is an amenable number.

67002804801 is a deficient number, since it is larger than the sum of its proper divisors (33465926800).

67002804801 is an frugal number, since it uses more digits than its factorization.

67002804801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19192 (or 9590 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 67002804801 by its sum of digits (36), we get a square (2412100972836 = 1553094²).

The spelling of 67002804801 in words is "sixty-seven billion, two million, eight hundred four thousand, eight hundred one".