45782875840 has 112 divisors (see below), whose sum is σ = 117496669248. Its totient is φ = 16891490304.

The previous prime is 45782875769. The next prime is 45782875841. The reversal of 45782875840 is 4857828754.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45782875841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6706669 + ... + 6713491.

It is an arithmetic number, because the mean of its divisors is an integer number (1049077404).

Almost surely, 2^45782875840 is an apocalyptic number.

45782875840 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 45782875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58748334624).

45782875840 is an abundant number, since it is smaller than the sum of its proper divisors (71713793408).

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

45782875840 is a wasteful number, since it uses less digits than its factorization.

45782875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8466 (or 8456 counting only the distinct ones).

The product of its (nonzero) digits is 20070400, while the sum is 58.

The spelling of 45782875840 in words is "forty-five billion, seven hundred eighty-two million, eight hundred seventy-five thousand, eight hundred forty".