1664034527160 has 192 divisors, whose sum is σ = 5445021703680. Its totient is φ = 440722840320.

The previous prime is 1664034527149. The next prime is 1664034527161. The reversal of 1664034527160 is 617254304661.

1664034527160 is a `hidden beast` number, since 1 + 6 + 64 + 0 + 3 + 4 + 527 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1664034527161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36970029 + ... + 37015011.

It is an arithmetic number, because the mean of its divisors is an integer number (28359488040).

Almost surely, 2^{1664034527160} is an apocalyptic number.

1664034527160 is a gapful number since it is divisible by the number (10) 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 1664034527160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2722510851840).

1664034527160 is an abundant number, since it is smaller than the sum of its proper divisors (3780987176520).

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

1664034527160 is a wasteful number, since it uses less digits than its factorization.

1664034527160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45698 (or 45691 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 1664034527160 in words is "one trillion, six hundred sixty-four billion, thirty-four million, five hundred twenty-seven thousand, one hundred sixty".