27274466292480 has 1440 divisors, whose sum is σ = 112754576309760. Its totient is φ = 6225657200640.

The previous prime is 27274466292473. The next prime is 27274466292509. The reversal of 27274466292480 is 8429266447272.

It is a happy number.

27274466292480 is a `hidden beast` number, since 2 + 7 + 2 + 7 + 4 + 4 + 6 + 62 + 92 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3618739272 + ... + 3618746808.

It is an arithmetic number, because the mean of its divisors is an integer number (78301789104).

Almost surely, 2^{27274466292480} is an apocalyptic number.

27274466292480 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 27274466292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56377288154880).

27274466292480 is an abundant number, since it is smaller than the sum of its proper divisors (85480110017280).

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

27274466292480 is a wasteful number, since it uses less digits than its factorization.

27274466292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7767 (or 7744 counting only the distinct ones).

The product of its (nonzero) digits is 130056192, while the sum is 63.

The spelling of 27274466292480 in words is "twenty-seven trillion, two hundred seventy-four billion, four hundred sixty-six million, two hundred ninety-two thousand, four hundred eighty".