26272160640 has 384 divisors, whose sum is σ = 101280516480. Its totient is φ = 6220247040.

The previous prime is 26272160623. The next prime is 26272160729. The reversal of 26272160640 is 4606127262.

26272160640 is a `hidden beast` number, since 2 + 6 + 2 + 7 + 2 + 1 + 6 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 26272160595 and 26272160604.

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 47 ways as a sum of consecutive naturals, for example, 2719659 + ... + 2729301.

It is an arithmetic number, because the mean of its divisors is an integer number (263751345).

Almost surely, 2^26272160640 is an apocalyptic number.

26272160640 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 26272160640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50640258240).

26272160640 is an abundant number, since it is smaller than the sum of its proper divisors (75008355840).

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

26272160640 is a wasteful number, since it uses less digits than its factorization.

26272160640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9707 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 26272160640 in words is "twenty-six billion, two hundred seventy-two million, one hundred sixty thousand, six hundred forty".