26974064456640 has 2352 divisors, whose sum is σ = 119660216896512. Its totient is φ = 5751865147392.

The previous prime is 26974064456627. The next prime is 26974064456641. The reversal of 26974064456640 is 4665446047962.

It is a happy number.

26974064456640 is a `hidden beast` number, since 2 + 6 + 9 + 7 + 4 + 0 + 64 + 4 + 566 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2352).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26974064456641) by changing a digit.

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 335 ways as a sum of consecutive naturals, for example, 24678923934 + ... + 24678925026.

Almost surely, 2^{26974064456640} is an apocalyptic number.

26974064456640 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 26974064456640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59830108448256).

26974064456640 is an abundant number, since it is smaller than the sum of its proper divisors (92686152439872).

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

26974064456640 is a wasteful number, since it uses less digits than its factorization.

26974064456640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 63.

The spelling of 26974064456640 in words is "twenty-six trillion, nine hundred seventy-four billion, sixty-four million, four hundred fifty-six thousand, six hundred forty".