26307728640 has 288 divisors, whose sum is σ = 94893926400. Its totient is φ = 6899834880.

The previous prime is 26307728621. The next prime is 26307728651. The reversal of 26307728640 is 4682770362.

26307728640 is a `hidden beast` number, since 2 + 630 + 7 + 7 + 2 + 8 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2101921 + ... + 2114399.

It is an arithmetic number, because the mean of its divisors is an integer number (329492800).

Almost surely, 2^26307728640 is an apocalyptic number.

26307728640 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 26307728640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47446963200).

26307728640 is an abundant number, since it is smaller than the sum of its proper divisors (68586197760).

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

26307728640 is a wasteful number, since it uses less digits than its factorization.

26307728640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12570 (or 12550 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 26307728640 in words is "twenty-six billion, three hundred seven million, seven hundred twenty-eight thousand, six hundred forty".