1645056000 has 832 divisors, whose sum is σ = 7360104960. Its totient is φ = 353894400.

The previous prime is 1645055999. The next prime is 1645056011. The reversal of 1645056000 is 6505461.

It is a happy number.

1645056000 is a `hidden beast` number, since 1 + 6 + 4 + 50 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 96767992 + ... + 96768008.

It is an arithmetic number, because the mean of its divisors is an integer number (8846280).

Almost surely, 2^1645056000 is an apocalyptic number.

1645056000 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 1645056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680052480).

1645056000 is an abundant number, since it is smaller than the sum of its proper divisors (5715048960).

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

1645056000 is an equidigital number, since it uses as much as digits as its factorization.

1645056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1645056000 is about 40559.2899346130. The cubic root of 1645056000 is about 1180.4843362701.

The spelling of 1645056000 in words is "one billion, six hundred forty-five million, fifty-six thousand".