67034400001100 has 72 divisors (see below), whose sum is σ = 166265148349440. Its totient is φ = 22980480505920.

The previous prime is 67034400001097. The next prime is 67034400001103. The reversal of 67034400001100 is 110000443076.

It is an interprime number because it is at equal distance from previous prime (67034400001097) and next prime (67034400001103).

It is a super-2 number, since 2×67034400001100² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67034400001100.

It is not an unprimeable number, because it can be changed into a prime (67034400001103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161861 + ... + 11579939.

It is an arithmetic number, because the mean of its divisors is an integer number (2309238171520).

Almost surely, 2^{67034400001100} is an apocalyptic number.

It is an amenable number.

67034400001100 is an abundant number, since it is smaller than the sum of its proper divisors (99230748348340).

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

67034400001100 is a wasteful number, since it uses less digits than its factorization.

67034400001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11426487 (or 11426480 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

Adding to 67034400001100 its reverse (110000443076), we get a palindrome (67144400444176).

The spelling of 67034400001100 in words is "sixty-seven trillion, thirty-four billion, four hundred million, one thousand, one hundred".