1645828800 has 672 divisors, whose sum is σ = 6936175104. Its totient is φ = 331776000.

The previous prime is 1645828763. The next prime is 1645828801. The reversal of 1645828800 is 88285461.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1645828801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22545564 + ... + 22545636.

Almost surely, 2^1645828800 is an apocalyptic number.

1645828800 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 1645828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468087552).

1645828800 is an abundant number, since it is smaller than the sum of its proper divisors (5290346304).

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

1645828800 is a wasteful number, since it uses less digits than its factorization.

1645828800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 1645828800 is about 40568.8156100224. The cubic root of 1645828800 is about 1180.6691598624.

The spelling of 1645828800 in words is "one billion, six hundred forty-five million, eight hundred twenty-eight thousand, eight hundred".