1645907830560 has 960 divisors, whose sum is σ = 7094205296640. Its totient is φ = 350793400320.

The previous prime is 1645907830549. The next prime is 1645907830573. The reversal of 1645907830560 is 650387095461.

1645907830560 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 9 + 0 + 78 + 3 + 0 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1645907830497 and 1645907830506.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 168099265 + ... + 168109055.

It is an arithmetic number, because the mean of its divisors is an integer number (7389797184).

Almost surely, 2^{1645907830560} is an apocalyptic number.

1645907830560 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 1645907830560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3547102648320).

1645907830560 is an abundant number, since it is smaller than the sum of its proper divisors (5448297466080).

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

1645907830560 is a wasteful number, since it uses less digits than its factorization.

1645907830560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9951 (or 9934 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 1645907830560 in words is "one trillion, six hundred forty-five billion, nine hundred seven million, eight hundred thirty thousand, five hundred sixty".