27654414676240 has 40 divisors (see below), whose sum is σ = 70141651771968. Its totient is φ = 10056150791040.

The previous prime is 27654414676237. The next prime is 27654414676261. The reversal of 27654414676240 is 4267641445672.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15712734732 + ... + 15712736491.

Almost surely, 2^{27654414676240} is an apocalyptic number.

27654414676240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27654414676240 is an abundant number, since it is smaller than the sum of its proper divisors (42487237095728).

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

27654414676240 is a wasteful number, since it uses less digits than its factorization.

27654414676240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31425471247 (or 31425471241 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 58.

The spelling of 27654414676240 in words is "twenty-seven trillion, six hundred fifty-four billion, four hundred fourteen million, six hundred seventy-six thousand, two hundred forty".