26414641620 has 192 divisors, whose sum is σ = 82989446400. Its totient is φ = 6974830080.

The previous prime is 26414641579. The next prime is 26414641639. The reversal of 26414641620 is 2614641462.

26414641620 is a `hidden beast` number, since 2 + 6 + 4 + 1 + 4 + 641 + 6 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28070350 + ... + 28071290.

It is an arithmetic number, because the mean of its divisors is an integer number (432236700).

Almost surely, 2^26414641620 is an apocalyptic number.

26414641620 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 26414641620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41494723200).

26414641620 is an abundant number, since it is smaller than the sum of its proper divisors (56574804780).

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

26414641620 is a wasteful number, since it uses less digits than its factorization.

26414641620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 26414641620 in words is "twenty-six billion, four hundred fourteen million, six hundred forty-one thousand, six hundred twenty".