27440038328976 has 1575 divisors, whose sum is σ = 102961849387533. Its totient is φ = 7060422620160.

The previous prime is 27440038328957. The next prime is 27440038328977. The reversal of 27440038328976 is 67982383004472.

The square root of 27440038328976 is 5238324.

It is a perfect power (a square), and thus also a powerful number.

27440038328976 is a `hidden beast` number, since 2 + 7 + 4 + 400 + 3 + 83 + 2 + 89 + 76 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 19700069202576 + 7739969126400 = 4438476^2 + 2782080^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (27440038328977) by changing a digit.

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 314 ways as a sum of consecutive naturals, for example, 669269227516 + ... + 669269227556.

Almost surely, 2^{27440038328976} is an apocalyptic number.

27440038328976 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

27440038328976 is the 5238324-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27440038328976

27440038328976 is an abundant number, since it is smaller than the sum of its proper divisors (75521811058557).

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

27440038328976 is an frugal number, since it uses more digits than its factorization.

27440038328976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 27440038328976 in words is "twenty-seven trillion, four hundred forty billion, thirty-eight million, three hundred twenty-eight thousand, nine hundred seventy-six".