1605527432640 has 168 divisors, whose sum is σ = 5523128814528. Its totient is φ = 428079912960.

The previous prime is 1605527432629. The next prime is 1605527432647. The reversal of 1605527432640 is 462347255061.

1605527432640 is a `hidden beast` number, since 1 + 6 + 0 + 55 + 274 + 326 + 4 + 0 = 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 (1605527432647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22494610 + ... + 22565870.

Almost surely, 2^{1605527432640} is an apocalyptic number.

1605527432640 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 1605527432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2761564407264).

1605527432640 is an abundant number, since it is smaller than the sum of its proper divisors (3917601381888).

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

1605527432640 is a wasteful number, since it uses less digits than its factorization.

1605527432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79107 (or 79094 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 1605527432640 in words is "one trillion, six hundred five billion, five hundred twenty-seven million, four hundred thirty-two thousand, six hundred forty".