5782645440 has 672 divisors, whose sum is σ = 24630278400. Its totient is φ = 1224253440.

The previous prime is 5782645417. The next prime is 5782645471. The reversal of 5782645440 is 445462875.

5782645440 is a `hidden beast` number, since 578 + 26 + 4 + 54 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7824591 + ... + 7825329.

It is an arithmetic number, because the mean of its divisors is an integer number (36652200).

Almost surely, 2^5782645440 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 5782645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12315139200).

5782645440 is an abundant number, since it is smaller than the sum of its proper divisors (18847632960).

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

5782645440 is a wasteful number, since it uses less digits than its factorization.

5782645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The square root of 5782645440 is about 76043.7074319763. The cubic root of 5782645440 is about 1794.9079791334.

The spelling of 5782645440 in words is "five billion, seven hundred eighty-two million, six hundred forty-five thousand, four hundred forty".