26676468720 has 400 divisors, whose sum is σ = 101529787392. Its totient is φ = 6437905920.

The previous prime is 26676468703. The next prime is 26676468751. The reversal of 26676468720 is 2786467662.

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

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 79 ways as a sum of consecutive naturals, for example, 18745929 + ... + 18747351.

Almost surely, 2^26676468720 is an apocalyptic number.

26676468720 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 26676468720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50764893696).

26676468720 is an abundant number, since it is smaller than the sum of its proper divisors (74853318672).

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

26676468720 is a wasteful number, since it uses less digits than its factorization.

26676468720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 26676468720 in words is "twenty-six billion, six hundred seventy-six million, four hundred sixty-eight thousand, seven hundred twenty".