27471798756864 has 1600 divisors, whose sum is σ = 104340679483392. Its totient is φ = 6989591347200.

The previous prime is 27471798756827. The next prime is 27471798756877. The reversal of 27471798756864 is 46865789717472.

27471798756864 is a `hidden beast` number, since 2 + 7 + 47 + 1 + 7 + 9 + 8 + 7 + 568 + 6 + 4 = 666.

It is a super-2 number, since 2×27471798756864² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

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, 44524795084 + ... + 44524795700.

Almost surely, 2^{27471798756864} is an apocalyptic number.

27471798756864 is a gapful number since it is divisible by the number (24) 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 27471798756864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52170339741696).

27471798756864 is an abundant number, since it is smaller than the sum of its proper divisors (76868880726528).

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

27471798756864 is a wasteful number, since it uses less digits than its factorization.

27471798756864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 904 counting only the distinct ones).

The product of its digits is 7965941760, while the sum is 81.

The spelling of 27471798756864 in words is "twenty-seven trillion, four hundred seventy-one billion, seven hundred ninety-eight million, seven hundred fifty-six thousand, eight hundred sixty-four".