26332784640 has 768 divisors, whose sum is σ = 101047564800. Its totient is φ = 6488064000.

The previous prime is 26332784633. The next prime is 26332784641. The reversal of 26332784640 is 4648723362.

26332784640 is a `hidden beast` number, since 2 + 633 + 2 + 7 + 8 + 4 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26332784641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 260720590 + ... + 260720690.

It is an arithmetic number, because the mean of its divisors is an integer number (131572350).

Almost surely, 2^26332784640 is an apocalyptic number.

26332784640 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 26332784640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50523782400).

26332784640 is an abundant number, since it is smaller than the sum of its proper divisors (74714780160).

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

26332784640 is a wasteful number, since it uses less digits than its factorization.

26332784640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 26332784640 in words is "twenty-six billion, three hundred thirty-two million, seven hundred eighty-four thousand, six hundred forty".