1645364560320 has 560 divisors, whose sum is σ = 6330891742560. Its totient is φ = 403225288704.

The previous prime is 1645364560219. The next prime is 1645364560337. The reversal of 1645364560320 is 230654635461.

1645364560320 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 3 + 64 + 560 + 3 + 20 = 666.

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

It is a congruent number.

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, 77153179 + ... + 77174501.

It is an arithmetic number, because the mean of its divisors is an integer number (11305163826).

Almost surely, 2^{1645364560320} is an apocalyptic number.

1645364560320 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 1645364560320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3165445871280).

1645364560320 is an abundant number, since it is smaller than the sum of its proper divisors (4685527182240).

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

1645364560320 is a wasteful number, since it uses less digits than its factorization.

1645364560320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21594 (or 21575 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 1645364560320 in words is "one trillion, six hundred forty-five billion, three hundred sixty-four million, five hundred sixty thousand, three hundred twenty".