26673676667664 has 80 divisors (see below), whose sum is σ = 74209525328064. Its totient is φ = 8207065152000.

The previous prime is 26673676667663. The next prime is 26673676667719. The reversal of 26673676667664 is 46676667637662.

It is a happy number.

It is a super-2 number, since 2×26673676667664² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a self number, because there is not a number n which added to its sum of digits gives 26673676667664.

It is not an unprimeable number, because it can be changed into a prime (26673676667663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23539714 + ... + 24646814.

Almost surely, 2^{26673676667664} is an apocalyptic number.

26673676667664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

26673676667664 is an abundant number, since it is smaller than the sum of its proper divisors (47535848660400).

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

26673676667664 is a wasteful number, since it uses less digits than its factorization.

26673676667664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145736 (or 1145730 counting only the distinct ones).

The product of its digits is 13826598912, while the sum is 78.

The spelling of 26673676667664 in words is "twenty-six trillion, six hundred seventy-three billion, six hundred seventy-six million, six hundred sixty-seven thousand, six hundred sixty-four".