27936069678720 has 1280 divisors, whose sum is σ = 117016851916800. Its totient is φ = 6218269876224.

The previous prime is 27936069678709. The next prime is 27936069678761. The reversal of 27936069678720 is 2787696063972.

27936069678720 is a `hidden beast` number, since 2 + 7 + 9 + 3 + 606 + 9 + 6 + 7 + 8 + 7 + 2 + 0 = 666.

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

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, 5601776067 + ... + 5601781053.

It is an arithmetic number, because the mean of its divisors is an integer number (91419415560).

Almost surely, 2^{27936069678720} is an apocalyptic number.

27936069678720 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 27936069678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58508425958400).

27936069678720 is an abundant number, since it is smaller than the sum of its proper divisors (89080782238080).

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

27936069678720 is a wasteful number, since it uses less digits than its factorization.

27936069678720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5406 counting only the distinct ones).

The product of its (nonzero) digits is 576108288, while the sum is 72.

The spelling of 27936069678720 in words is "twenty-seven trillion, nine hundred thirty-six billion, sixty-nine million, six hundred seventy-eight thousand, seven hundred twenty".