7382045664 has 144 divisors (see below), whose sum is σ = 24295864320. Its totient is φ = 2082412800.

The previous prime is 7382045659. The next prime is 7382045687. The reversal of 7382045664 is 4665402837.

7382045664 is a `hidden beast` number, since 7 + 3 + 82 + 0 + 4 + 566 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136089 + ... + 182439.

It is an arithmetic number, because the mean of its divisors is an integer number (168721280).

Almost surely, 2^7382045664 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 7382045664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12147932160).

7382045664 is an abundant number, since it is smaller than the sum of its proper divisors (16913818656).

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

7382045664 is a wasteful number, since it uses less digits than its factorization.

7382045664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46453 (or 46442 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 7382045664 is about 85918.8318356343. The cubic root of 7382045664 is about 1947.1178692858.

It can be divided in two parts, 738 and 2045664, that added together give a palindrome (2046402).

The spelling of 7382045664 in words is "seven billion, three hundred eighty-two million, forty-five thousand, six hundred sixty-four".