26422640640 has 640 divisors, whose sum is σ = 103911247440. Its totient is φ = 6370099200.

The previous prime is 26422640639. The next prime is 26422640659. The reversal of 26422640640 is 4604622462.

26422640640 is a `hidden beast` number, since 2 + 6 + 4 + 2 + 2 + 6 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 26422640595 and 26422640604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145981350 + ... + 145981530.

Almost surely, 2^26422640640 is an apocalyptic number.

26422640640 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 26422640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51955623720).

26422640640 is an abundant number, since it is smaller than the sum of its proper divisors (77488606800).

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

26422640640 is an equidigital number, since it uses as much as digits as its factorization.

26422640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 26422640640 in words is "twenty-six billion, four hundred twenty-two million, six hundred forty thousand, six hundred forty".