26742730466340 has 288 divisors, whose sum is σ = 96802268000256. Its totient is φ = 5843029167360.

The previous prime is 26742730466339. The next prime is 26742730466357. The reversal of 26742730466340 is 4366403724762.

It is a happy number.

26742730466340 is a `hidden beast` number, since 2 + 6 + 74 + 2 + 73 + 0 + 466 + 3 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44067009 + ... + 44669751.

It is an arithmetic number, because the mean of its divisors is an integer number (336118986112).

Almost surely, 2^{26742730466340} is an apocalyptic number.

26742730466340 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 26742730466340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48401134000128).

26742730466340 is an abundant number, since it is smaller than the sum of its proper divisors (70059537533916).

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

26742730466340 is a wasteful number, since it uses less digits than its factorization.

26742730466340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604319 (or 604314 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 54.

The spelling of 26742730466340 in words is "twenty-six trillion, seven hundred forty-two billion, seven hundred thirty million, four hundred sixty-six thousand, three hundred forty".