27676217220480 has 640 divisors, whose sum is σ = 99781811712000. Its totient is φ = 7309954584576.

The previous prime is 27676217220473. The next prime is 27676217220523. The reversal of 27676217220480 is 8402271267672.

27676217220480 is a `hidden beast` number, since 2 + 7 + 6 + 7 + 621 + 7 + 2 + 2 + 0 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4338641931 + ... + 4338648309.

It is an arithmetic number, because the mean of its divisors is an integer number (155909080800).

Almost surely, 2^{27676217220480} is an apocalyptic number.

27676217220480 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 27676217220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49890905856000).

27676217220480 is an abundant number, since it is smaller than the sum of its proper divisors (72105594491520).

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

27676217220480 is a wasteful number, since it uses less digits than its factorization.

27676217220480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7196 (or 7175 counting only the distinct ones).

The product of its (nonzero) digits is 6322176, while the sum is 54.

The spelling of 27676217220480 in words is "twenty-seven trillion, six hundred seventy-six billion, two hundred seventeen million, two hundred twenty thousand, four hundred eighty".