26476323840 has 528 divisors, whose sum is σ = 96324581808. Its totient is φ = 6716915712.

The previous prime is 26476323829. The next prime is 26476323847. The reversal of 26476323840 is 4832367462.

26476323840 is a `hidden beast` number, since 2 + 6 + 4 + 7 + 632 + 3 + 8 + 4 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 7153099776 + 19323224064 = 84576^2 + 139008^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26476323847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90362734 + ... + 90363026.

Almost surely, 2^26476323840 is an apocalyptic number.

26476323840 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 26476323840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48162290904).

26476323840 is an abundant number, since it is smaller than the sum of its proper divisors (69848257968).

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

26476323840 is a wasteful number, since it uses less digits than its factorization.

26476323840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 26476323840 in words is "twenty-six billion, four hundred seventy-six million, three hundred twenty-three thousand, eight hundred forty".