67771224001 has 8 divisors (see below), whose sum is σ = 72988412840. Its totient is φ = 62554609152.

The previous prime is 67771223983. The next prime is 67771224029. The reversal of 67771224001 is 10042217776.

It can be written as a sum of positive squares in 4 ways, for example, as 14893761600 + 52877462401 = 122040^2 + 229951^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 67771224001 - 2⁵ = 67771223969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67771324001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119611 + ... + 387103.

It is an arithmetic number, because the mean of its divisors is an integer number (9123551605).

Almost surely, 2^67771224001 is an apocalyptic number.

It is an amenable number.

67771224001 is a deficient number, since it is larger than the sum of its proper divisors (5217188839).

67771224001 is a wasteful number, since it uses less digits than its factorization.

67771224001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286995.

The product of its (nonzero) digits is 32928, while the sum is 37.

The spelling of 67771224001 in words is "sixty-seven billion, seven hundred seventy-one million, two hundred twenty-four thousand, one".