27755468663760 has 800 divisors, whose sum is σ = 106637155713792. Its totient is φ = 6655074877440.

The previous prime is 27755468663749. The next prime is 27755468663801. The reversal of 27755468663760 is 6736686455772.

27755468663760 is a `hidden beast` number, since 2 + 7 + 7 + 5 + 546 + 8 + 6 + 6 + 3 + 76 + 0 = 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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2222031115 + ... + 2222043605.

Almost surely, 2^{27755468663760} is an apocalyptic number.

27755468663760 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 27755468663760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53318577856896).

27755468663760 is an abundant number, since it is smaller than the sum of its proper divisors (78881687050032).

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

27755468663760 is a wasteful number, since it uses less digits than its factorization.

27755468663760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13433 (or 13418 counting only the distinct ones).

The product of its (nonzero) digits is 2133734400, while the sum is 72.

The spelling of 27755468663760 in words is "twenty-seven trillion, seven hundred fifty-five billion, four hundred sixty-eight million, six hundred sixty-three thousand, seven hundred sixty".