26728352640 has 384 divisors, whose sum is σ = 103152722400. Its totient is φ = 6320947200.

The previous prime is 26728352621. The next prime is 26728352659. The reversal of 26728352640 is 4625382762.

26728352640 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 83 + 526 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (26728352621) and next prime (26728352659).

It is a tau number, because it is divible by the number of its divisors (384).

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2592616 + ... + 2602904.

Almost surely, 2^26728352640 is an apocalyptic number.

26728352640 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 26728352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51576361200).

26728352640 is an abundant number, since it is smaller than the sum of its proper divisors (76424369760).

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

26728352640 is a wasteful number, since it uses less digits than its factorization.

26728352640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10366 (or 10351 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 26728352640 in words is "twenty-six billion, seven hundred twenty-eight million, three hundred fifty-two thousand, six hundred forty".