1832945664 has 192 divisors, whose sum is σ = 5482451520. Its totient is φ = 539688960.

The previous prime is 1832945657. The next prime is 1832945669. The reversal of 1832945664 is 4665492381.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1832945669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2500242 + ... + 2500974.

It is an arithmetic number, because the mean of its divisors is an integer number (28554435).

Almost surely, 2^1832945664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1832945664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2741225760).

1832945664 is an abundant number, since it is smaller than the sum of its proper divisors (3649505856).

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

1832945664 is a wasteful number, since it uses less digits than its factorization.

1832945664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 806 (or 786 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 48.

The square root of 1832945664 is about 42812.9146870427. The cubic root of 1832945664 is about 1223.8171370205.

The spelling of 1832945664 in words is "one billion, eight hundred thirty-two million, nine hundred forty-five thousand, six hundred sixty-four".