1664471540736 has 297 divisors, whose sum is σ = 4893137089113. Its totient is φ = 544956825600.

The previous prime is 1664471540717. The next prime is 1664471540737. The reversal of 1664471540736 is 6370451744661.

The square root of 1664471540736 is 1290144.

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

1664471540736 is a `hidden beast` number, since 1 + 6 + 64 + 4 + 7 + 1 + 540 + 7 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 319613838336 + 1344857702400 = 565344^2 + 1159680^2 .

It is not an unprimeable number, because it can be changed into a prime (1664471540737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11022990261 + ... + 11022990411.

Almost surely, 2^{1664471540736} is an apocalyptic number.

1664471540736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1664471540736 is the 1290144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1664471540736

1664471540736 is an abundant number, since it is smaller than the sum of its proper divisors (3228665548377).

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

1664471540736 is an frugal number, since it uses more digits than its factorization.

1664471540736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 1664471540736 in words is "one trillion, six hundred sixty-four billion, four hundred seventy-one million, five hundred forty thousand, seven hundred thirty-six".