26767380480 has 416 divisors, whose sum is σ = 90161285760. Its totient is φ = 6771179520.

The previous prime is 26767380467. The next prime is 26767380491. The reversal of 26767380480 is 8408376762.

It is a super-2 number, since 2×26767380480² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147885990 + ... + 147886170.

It is an arithmetic number, because the mean of its divisors is an integer number (216733860).

Almost surely, 2^26767380480 is an apocalyptic number.

26767380480 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 26767380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45080642880).

26767380480 is an abundant number, since it is smaller than the sum of its proper divisors (63393905280).

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

26767380480 is a wasteful number, since it uses less digits than its factorization.

26767380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 26767380480 in words is "twenty-six billion, seven hundred sixty-seven million, three hundred eighty thousand, four hundred eighty".