27730924033680 has 240 divisors, whose sum is σ = 106467385425024. Its totient is φ = 6336504391680.

The previous prime is 27730924033643. The next prime is 27730924033717. The reversal of 27730924033680 is 8633042903772.

27730924033680 is a `hidden beast` number, since 2 + 7 + 7 + 30 + 9 + 240 + 3 + 368 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (27730924033643) and next prime (27730924033717).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15199260 + ... + 16925700.

Almost surely, 2^{27730924033680} is an apocalyptic number.

27730924033680 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 27730924033680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53233692712512).

27730924033680 is an abundant number, since it is smaller than the sum of its proper divisors (78736461391344).

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

27730924033680 is a wasteful number, since it uses less digits than its factorization.

27730924033680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1729654 (or 1729645 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 27730924033680 in words is "twenty-seven trillion, seven hundred thirty billion, nine hundred twenty-four million, thirty-three thousand, six hundred eighty".