26684469900 has 720 divisors, whose sum is σ = 101633495040. Its totient is φ = 5984409600.

The previous prime is 26684469887. The next prime is 26684469907. The reversal of 26684469900 is 996448662.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (26684469907) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 119661189 + ... + 119661411.

It is an arithmetic number, because the mean of its divisors is an integer number (141157632).

Almost surely, 2^26684469900 is an apocalyptic number.

26684469900 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 26684469900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50816747520).

26684469900 is an abundant number, since it is smaller than the sum of its proper divisors (74949025140).

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

26684469900 is a wasteful number, since it uses less digits than its factorization.

26684469900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 26684469900 in words is "twenty-six billion, six hundred eighty-four million, four hundred sixty-nine thousand, nine hundred".