26707865696640 has 96 divisors (see below), whose sum is σ = 92225598753600. Its totient is φ = 7122097517568.

The previous prime is 26707865696623. The next prime is 26707865696647. The reversal of 26707865696640 is 4669656870762.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26707865696647) 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 11 ways as a sum of consecutive naturals, for example, 2318385360 + ... + 2318396879.

It is an arithmetic number, because the mean of its divisors is an integer number (960683320350).

Almost surely, 2^{26707865696640} is an apocalyptic number.

26707865696640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

26707865696640 is an abundant number, since it is smaller than the sum of its proper divisors (65517733056960).

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

26707865696640 is a wasteful number, since it uses less digits than its factorization.

26707865696640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4636782264 (or 4636782249 counting only the distinct ones).

The product of its (nonzero) digits is 1097349120, while the sum is 72.

The spelling of 26707865696640 in words is "twenty-six trillion, seven hundred seven billion, eight hundred sixty-five million, six hundred ninety-six thousand, six hundred forty".