26970783840 has 1728 divisors, whose sum is σ = 131589178560. Its totient is φ = 5173217280.

The previous prime is 26970783793. The next prime is 26970783857. The reversal of 26970783840 is 4838707962.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2074675674 + ... + 2074675686.

It is an arithmetic number, because the mean of its divisors is an integer number (76151145).

Almost surely, 2^26970783840 is an apocalyptic number.

26970783840 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 26970783840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65794589280).

26970783840 is an abundant number, since it is smaller than the sum of its proper divisors (104618394720).

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

26970783840 is a wasteful number, since it uses less digits than its factorization.

26970783840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 26970783840 in words is "twenty-six billion, nine hundred seventy million, seven hundred eighty-three thousand, eight hundred forty".