26358848640 has 384 divisors, whose sum is σ = 96169582080. Its totient is φ = 6642155520.

The previous prime is 26358848629. The next prime is 26358848647. The reversal of 26358848640 is 4684885362.

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

It is not an unprimeable number, because it can be changed into a prime (26358848647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7676364 + ... + 7679796.

It is an arithmetic number, because the mean of its divisors is an integer number (250441620).

Almost surely, 2^26358848640 is an apocalyptic number.

26358848640 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 26358848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48084791040).

26358848640 is an abundant number, since it is smaller than the sum of its proper divisors (69810733440).

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

26358848640 is a wasteful number, since it uses less digits than its factorization.

26358848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 26358848640 in words is "twenty-six billion, three hundred fifty-eight million, eight hundred forty-eight thousand, six hundred forty".