67759648011 has 24 divisors (see below), whose sum is σ = 110340172880. Its totient is φ = 41066451360.

The previous prime is 67759648009. The next prime is 67759648013. The reversal of 67759648011 is 11084695776.

67759648011 is a `hidden beast` number, since 6 + 7 + 7 + 596 + 48 + 0 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (67759648009) and next prime (67759648013).

It is not a de Polignac number, because 67759648011 - 2¹ = 67759648009 is a prime.

It is a super-3 number, since 3×67759648011³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67759648013) 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 23 ways as a sum of consecutive naturals, for example, 10367050 + ... + 10373583.

Almost surely, 2^67759648011 is an apocalyptic number.

67759648011 is a deficient number, since it is larger than the sum of its proper divisors (42580524869).

67759648011 is a wasteful number, since it uses less digits than its factorization.

67759648011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20740664 (or 20740647 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 67759648011 in words is "sixty-seven billion, seven hundred fifty-nine million, six hundred forty-eight thousand, eleven".