27703448974656 has 1120 divisors, whose sum is σ = 112651488956160. Its totient is φ = 6514652676096.

The previous prime is 27703448974559. The next prime is 27703448974723. The reversal of 27703448974656 is 65647984430772.

27703448974656 is a `hidden beast` number, since 2 + 7 + 7 + 0 + 3 + 448 + 97 + 46 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 159 ways as a sum of consecutive naturals, for example, 152282406 + ... + 152464218.

It is an arithmetic number, because the mean of its divisors is an integer number (100581686568).

Almost surely, 2^{27703448974656} is an apocalyptic number.

27703448974656 is a gapful number since it is divisible by the number (26) 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 27703448974656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56325744478080).

27703448974656 is an abundant number, since it is smaller than the sum of its proper divisors (84948039981504).

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

27703448974656 is a wasteful number, since it uses less digits than its factorization.

27703448974656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181893 (or 181874 counting only the distinct ones).

The product of its (nonzero) digits is 1706987520, while the sum is 72.

The spelling of 27703448974656 in words is "twenty-seven trillion, seven hundred three billion, four hundred forty-eight million, nine hundred seventy-four thousand, six hundred fifty-six".