26379924480 has 1056 divisors, whose sum is σ = 117166742784. Its totient is φ = 5541986304.

The previous prime is 26379924479. The next prime is 26379924499. The reversal of 26379924480 is 8442997362.

26379924480 is a `hidden beast` number, since 2 + 6 + 3 + 79 + 92 + 4 + 480 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113218444 + ... + 113218676.

Almost surely, 2^26379924480 is an apocalyptic number.

26379924480 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 26379924480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58583371392).

26379924480 is an abundant number, since it is smaller than the sum of its proper divisors (90786818304).

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

26379924480 is a wasteful number, since it uses less digits than its factorization.

26379924480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 26379924480 in words is "twenty-six billion, three hundred seventy-nine million, nine hundred twenty-four thousand, four hundred eighty".