1608047730432 has 648 divisors, whose sum is σ = 5611080737808. Its totient is φ = 438784819200.

The previous prime is 1608047730397. The next prime is 1608047730437. The reversal of 1608047730432 is 2340377408061.

1608047730432 is a `hidden beast` number, since 1 + 60 + 80 + 477 + 3 + 0 + 43 + 2 = 666.

It is a super-2 number, since 2×1608047730432² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1608047730437) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 175603998 + ... + 175613154.

Almost surely, 2^{1608047730432} is an apocalyptic number.

1608047730432 is a gapful number since it is divisible by the number (12) 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 1608047730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2805540368904).

1608047730432 is an abundant number, since it is smaller than the sum of its proper divisors (4003033007376).

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

1608047730432 is a wasteful number, since it uses less digits than its factorization.

1608047730432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9257 (or 9227 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 1608047730432 in words is "one trillion, six hundred eight billion, forty-seven million, seven hundred thirty thousand, four hundred thirty-two".