26406673920 has 960 divisors, whose sum is σ = 110031457536. Its totient is φ = 5998510080.

The previous prime is 26406673861. The next prime is 26406673987. The reversal of 26406673920 is 2937660462.

It is a tau number, because it is divible by the number of its divisors (960).

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116328847 + ... + 116329073.

Almost surely, 2^26406673920 is an apocalyptic number.

26406673920 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 26406673920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55015728768).

26406673920 is an abundant number, since it is smaller than the sum of its proper divisors (83624783616).

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

26406673920 is a wasteful number, since it uses less digits than its factorization.

26406673920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 26406673920 in words is "twenty-six billion, four hundred six million, six hundred seventy-three thousand, nine hundred twenty".