27010760040 has 512 divisors, whose sum is σ = 102916915200. Its totient is φ = 6241536000.

The previous prime is 27010760039. The next prime is 27010760047. The reversal of 27010760040 is 4006701072.

27010760040 is a `hidden beast` number, since 2 + 7 + 0 + 10 + 7 + 600 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 27010759986 and 27010760013.

It is not an unprimeable number, because it can be changed into a prime (27010760047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26147364 + ... + 26148396.

It is an arithmetic number, because the mean of its divisors is an integer number (201009600).

Almost surely, 2^27010760040 is an apocalyptic number.

27010760040 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 27010760040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51458457600).

27010760040 is an abundant number, since it is smaller than the sum of its proper divisors (75906155160).

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

27010760040 is a wasteful number, since it uses less digits than its factorization.

27010760040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 27010760040 in words is "twenty-seven billion, ten million, seven hundred sixty thousand, forty".