1604346726528 has 768 divisors, whose sum is σ = 5786977996800. Its totient is φ = 415366963200.

The previous prime is 1604346726503. The next prime is 1604346726571. The reversal of 1604346726528 is 8256276434061.

1604346726528 is a `hidden beast` number, since 1 + 6 + 0 + 4 + 3 + 46 + 72 + 6 + 528 = 666.

It is a super-2 number, since 2×1604346726528² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3267508363 + ... + 3267508853.

It is an arithmetic number, because the mean of its divisors is an integer number (7535127600).

Almost surely, 2^{1604346726528} is an apocalyptic number.

1604346726528 is a gapful number since it is divisible by the number (18) 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 1604346726528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893488998400).

1604346726528 is an abundant number, since it is smaller than the sum of its proper divisors (4182631270272).

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

1604346726528 is a wasteful number, since it uses less digits than its factorization.

1604346726528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 1604346726528 in words is "one trillion, six hundred four billion, three hundred forty-six million, seven hundred twenty-six thousand, five hundred twenty-eight".