26729740800 has 1200 divisors, whose sum is σ = 117881026560. Its totient is φ = 5852528640.

The previous prime is 26729740753. The next prime is 26729740831. The reversal of 26729740800 is 804792762.

It is a tau number, because it is divible by the number of its divisors (1200).

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 polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 210470337 + ... + 210470463.

Almost surely, 2^26729740800 is an apocalyptic number.

26729740800 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 26729740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58940513280).

26729740800 is an abundant number, since it is smaller than the sum of its proper divisors (91151285760).

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

26729740800 is a wasteful number, since it uses less digits than its factorization.

26729740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 26729740800 in words is "twenty-six billion, seven hundred twenty-nine million, seven hundred forty thousand, eight hundred".