26448293664 has 480 divisors, whose sum is σ = 89219592000. Its totient is φ = 7618738176.

The previous prime is 26448293657. The next prime is 26448293717. The reversal of 26448293664 is 46639284462.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 26448293664.

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, 69784227 + ... + 69784605.

It is an arithmetic number, because the mean of its divisors is an integer number (185874150).

Almost surely, 2^26448293664 is an apocalyptic number.

26448293664 is a gapful number since it is divisible by the number (24) 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 26448293664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44609796000).

26448293664 is an abundant number, since it is smaller than the sum of its proper divisors (62771298336).

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

26448293664 is a wasteful number, since it uses less digits than its factorization.

26448293664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 26448293664 in words is "twenty-six billion, four hundred forty-eight million, two hundred ninety-three thousand, six hundred sixty-four".