1645443072 has 480 divisors, whose sum is σ = 6104498400. Its totient is φ = 429981696.

The previous prime is 1645443067. The next prime is 1645443101. The reversal of 1645443072 is 2703445461.

1645443072 is a `hidden beast` number, since 1 + 645 + 4 + 4 + 3 + 0 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15095754 + ... + 15095862.

It is an arithmetic number, because the mean of its divisors is an integer number (12717705).

Almost surely, 2^1645443072 is an apocalyptic number.

1645443072 is a gapful number since it is divisible by the number (12) 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 1645443072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3052249200).

1645443072 is an abundant number, since it is smaller than the sum of its proper divisors (4459055328).

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

1645443072 is a wasteful number, since it uses less digits than its factorization.

1645443072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 1645443072 is about 40564.0613351277. The cubic root of 1645443072 is about 1180.5769160161.

The spelling of 1645443072 in words is "one billion, six hundred forty-five million, four hundred forty-three thousand, seventy-two".