26484848640 has 480 divisors, whose sum is σ = 97608551040. Its totient is φ = 6863781888.

The previous prime is 26484848609. The next prime is 26484848681. The reversal of 26484848640 is 4684848462.

26484848640 is a `hidden beast` number, since 2 + 6 + 48 + 484 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30688849 + ... + 30689711.

It is an arithmetic number, because the mean of its divisors is an integer number (203351148).

Almost surely, 2^26484848640 is an apocalyptic number.

26484848640 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 26484848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48804275520).

26484848640 is an abundant number, since it is smaller than the sum of its proper divisors (71123702400).

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

26484848640 is an equidigital number, since it uses as much as digits as its factorization.

26484848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 54.

The spelling of 26484848640 in words is "twenty-six billion, four hundred eighty-four million, eight hundred forty-eight thousand, six hundred forty".