26702767440 has 120 divisors (see below), whose sum is σ = 89857716000. Its totient is φ = 7106372352.

The previous prime is 26702767393. The next prime is 26702767477. The reversal of 26702767440 is 4476720762.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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, 322119 + ... + 396441.

It is an arithmetic number, because the mean of its divisors is an integer number (748814300).

Almost surely, 2^26702767440 is an apocalyptic number.

26702767440 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 26702767440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44928858000).

26702767440 is an abundant number, since it is smaller than the sum of its proper divisors (63154948560).

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

26702767440 is a wasteful number, since it uses less digits than its factorization.

26702767440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74841 (or 74832 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 45.

The spelling of 26702767440 in words is "twenty-six billion, seven hundred two million, seven hundred sixty-seven thousand, four hundred forty".