6182772816 has 120 divisors (see below), whose sum is σ = 18031297312. Its totient is φ = 1822867200.

The previous prime is 6182772763. The next prime is 6182772833.

6182772816 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 200511 + ... + 229281.

Almost surely, 2^6182772816 is an apocalyptic number.

6182772816 is a gapful number since it is divisible by the number (66) 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 6182772816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9015648656).

6182772816 is an abundant number, since it is smaller than the sum of its proper divisors (11848524496).

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

6182772816 is a wasteful number, since it uses less digits than its factorization.

6182772816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28841 (or 28824 counting only the distinct ones).

The product of its digits is 451584, while the sum is 48.

The square root of 6182772816 is about 78630.6099175124. The cubic root of 6182772816 is about 1835.3874718254.

The spelling of 6182772816 in words is "six billion, one hundred eighty-two million, seven hundred seventy-two thousand, eight hundred sixteen".