26472707424 has 144 divisors (see below), whose sum is σ = 78191253504. Its totient is φ = 8486726400.

The previous prime is 26472707413. The next prime is 26472707441. The reversal of 26472707424 is 42470727462.

26472707424 is a `hidden beast` number, since 26 + 472 + 70 + 74 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 26472707424.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1446169 + ... + 1464359.

It is an arithmetic number, because the mean of its divisors is an integer number (542994816).

Almost surely, 2^26472707424 is an apocalyptic number.

26472707424 is a gapful number since it is divisible by the number (24) 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 26472707424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39095626752).

26472707424 is an abundant number, since it is smaller than the sum of its proper divisors (51718546080).

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

26472707424 is a wasteful number, since it uses less digits than its factorization.

26472707424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18401 (or 18390 counting only the distinct ones).

The product of its (nonzero) digits is 1053696, while the sum is 45.

The spelling of 26472707424 in words is "twenty-six billion, four hundred seventy-two million, seven hundred seven thousand, four hundred twenty-four".