67218048001 has 6 divisors (see below), whose sum is σ = 72786407190. Its totient is φ = 62047428768.

The previous prime is 67218047989. The next prime is 67218048013. The reversal of 67218048001 is 10084081276.

It is an interprime number because it is at equal distance from previous prime (67218047989) and next prime (67218048013).

It can be written as a sum of positive squares in 3 ways, for example, as 5192643600 + 62025404401 = 72060^2 + 249049^2 .

It is not a de Polignac number, because 67218048001 - 2¹⁵ = 67218015233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67218048091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 198869796 + ... + 198870133.

It is an arithmetic number, because the mean of its divisors is an integer number (12131067865).

Almost surely, 2^67218048001 is an apocalyptic number.

It is an amenable number.

67218048001 is a deficient number, since it is larger than the sum of its proper divisors (5568359189).

67218048001 is a wasteful number, since it uses less digits than its factorization.

67218048001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397739955 (or 397739942 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 37.

The spelling of 67218048001 in words is "sixty-seven billion, two hundred eighteen million, forty-eight thousand, one".