45782910720 has 864 divisors, whose sum is σ = 177135329280. Its totient is φ = 11287019520.

The previous prime is 45782910689. The next prime is 45782910721. The reversal of 45782910720 is 2701928754.

It is a happy number.

45782910720 is a `hidden beast` number, since 4 + 578 + 2 + 9 + 1 + 0 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45782910721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360495297 + ... + 360495423.

Almost surely, 2^45782910720 is an apocalyptic number.

45782910720 is a gapful number since it is divisible by the number (40) 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 45782910720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88567664640).

45782910720 is an abundant number, since it is smaller than the sum of its proper divisors (131352418560).

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

45782910720 is a wasteful number, since it uses less digits than its factorization.

45782910720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 45782910720 in words is "forty-five billion, seven hundred eighty-two million, nine hundred ten thousand, seven hundred twenty".