26361684708480 has 1152 divisors, whose sum is σ = 108723437222400. Its totient is φ = 5858965094400.

The previous prime is 26361684708439. The next prime is 26361684708503. The reversal of 26361684708480 is 8480748616362.

26361684708480 is a `hidden beast` number, since 2 + 6 + 3 + 6 + 1 + 6 + 8 + 470 + 84 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 410477332 + ... + 410541548.

It is an arithmetic number, because the mean of its divisors is an integer number (94377983700).

Almost surely, 2^{26361684708480} is an apocalyptic number.

26361684708480 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 26361684708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54361718611200).

26361684708480 is an abundant number, since it is smaller than the sum of its proper divisors (82361752513920).

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

26361684708480 is a wasteful number, since it uses less digits than its factorization.

26361684708480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64314 (or 64288 counting only the distinct ones).

The product of its (nonzero) digits is 74317824, while the sum is 63.

The spelling of 26361684708480 in words is "twenty-six trillion, three hundred sixty-one billion, six hundred eighty-four million, seven hundred eight thousand, four hundred eighty".