5782772736 has 440 divisors, whose sum is σ = 19307697024. Its totient is φ = 1711964160.

The previous prime is 5782772689. The next prime is 5782772761. The reversal of 5782772736 is 6372772875.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33426346 + ... + 33426518.

Almost surely, 2^5782772736 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 5782772736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9653848512).

5782772736 is an abundant number, since it is smaller than the sum of its proper divisors (13524924288).

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

5782772736 is a wasteful number, since it uses less digits than its factorization.

5782772736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 222 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The square root of 5782772736 is about 76044.5444197018. The cubic root of 5782772736 is about 1794.9211497449.

The spelling of 5782772736 in words is "five billion, seven hundred eighty-two million, seven hundred seventy-two thousand, seven hundred thirty-six".