1604727430560 has 480 divisors, whose sum is σ = 5946174178560. Its totient is φ = 406998079488.

The previous prime is 1604727430549. The next prime is 1604727430613. The reversal of 1604727430560 is 650347274061.

1604727430560 is a `hidden beast` number, since 1 + 6 + 0 + 47 + 2 + 7 + 43 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25149417 + ... + 25213143.

It is an arithmetic number, because the mean of its divisors is an integer number (12387862872).

Almost surely, 2^{1604727430560} is an apocalyptic number.

1604727430560 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 1604727430560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973087089280).

1604727430560 is an abundant number, since it is smaller than the sum of its proper divisors (4341446748000).

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

1604727430560 is a wasteful number, since it uses less digits than its factorization.

1604727430560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63850 (or 63833 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 1604727430560 in words is "one trillion, six hundred four billion, seven hundred twenty-seven million, four hundred thirty thousand, five hundred sixty".