26631362240 has 224 divisors, whose sum is σ = 77187064320. Its totient is φ = 8543453184.

The previous prime is 26631362201. The next prime is 26631362243. The reversal of 26631362240 is 4226313662.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 26631362240.

It is not an unprimeable number, because it can be changed into a prime (26631362243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6814367 + ... + 6818273.

Almost surely, 2^26631362240 is an apocalyptic number.

26631362240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26631362240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38593532160).

26631362240 is an abundant number, since it is smaller than the sum of its proper divisors (50555702080).

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

26631362240 is a wasteful number, since it uses less digits than its factorization.

26631362240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4127 (or 4117 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

It can be divided in two parts, 266313622 and 40, that added together give a palindrome (266313662).

The spelling of 26631362240 in words is "twenty-six billion, six hundred thirty-one million, three hundred sixty-two thousand, two hundred forty".