26678192640 has 320 divisors, whose sum is σ = 95033917440. Its totient is φ = 6328893440.

The previous prime is 26678192623. The next prime is 26678192669. The reversal of 26678192640 is 4629187662.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 3967201 + ... + 3973919.

It is an arithmetic number, because the mean of its divisors is an integer number (296980992).

Almost surely, 2^26678192640 is an apocalyptic number.

26678192640 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 26678192640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47516958720).

26678192640 is an abundant number, since it is smaller than the sum of its proper divisors (68355724800).

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

26678192640 is a wasteful number, since it uses less digits than its factorization.

26678192640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803 (or 6787 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 26678192640 in words is "twenty-six billion, six hundred seventy-eight million, one hundred ninety-two thousand, six hundred forty".