26720523648 has 640 divisors, whose sum is σ = 99083550720. Its totient is φ = 6960328704.

The previous prime is 26720523611. The next prime is 26720523689. The reversal of 26720523648 is 84632502762.

26720523648 is a `hidden beast` number, since 2 + 67 + 2 + 0 + 523 + 64 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 119822865 + ... + 119823087.

It is an arithmetic number, because the mean of its divisors is an integer number (154818048).

Almost surely, 2^26720523648 is an apocalyptic number.

26720523648 is a gapful number since it is divisible by the number (28) 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 26720523648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49541775360).

26720523648 is an abundant number, since it is smaller than the sum of its proper divisors (72363027072).

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

26720523648 is a wasteful number, since it uses less digits than its factorization.

26720523648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 26720523648 in words is "twenty-six billion, seven hundred twenty million, five hundred twenty-three thousand, six hundred forty-eight".