26397584640 has 576 divisors, whose sum is σ = 112711065600. Its totient is φ = 5715173376.

The previous prime is 26397584617. The next prime is 26397584671. The reversal of 26397584640 is 4648579362.

26397584640 is a `hidden beast` number, since 26 + 39 + 7 + 584 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 4593609 + ... + 4599351.

Almost surely, 2^26397584640 is an apocalyptic number.

26397584640 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 26397584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56355532800).

26397584640 is an abundant number, since it is smaller than the sum of its proper divisors (86313480960).

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

26397584640 is a wasteful number, since it uses less digits than its factorization.

26397584640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5799 (or 5779 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 26397584640 in words is "twenty-six billion, three hundred ninety-seven million, five hundred eighty-four thousand, six hundred forty".