8273788416 has 200 divisors, whose sum is σ = 24826908744. Its totient is φ = 2754570240.

The previous prime is 8273788409. The next prime is 8273788433. The reversal of 8273788416 is 6148873728.

It is a happy number.

8273788416 is a `hidden beast` number, since 82 + 73 + 7 + 88 + 416 = 666.

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 19 ways as a sum of consecutive naturals, for example, 10077286 + ... + 10078106.

Almost surely, 2^8273788416 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 8273788416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12413454372).

8273788416 is an abundant number, since it is smaller than the sum of its proper divisors (16553120328).

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

8273788416 is an frugal number, since it uses more digits than its factorization.

8273788416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 826 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The square root of 8273788416 is about 90960.3672815804. The cubic root of 8273788416 is about 2022.5602617619.

The spelling of 8273788416 in words is "eight billion, two hundred seventy-three million, seven hundred eighty-eight thousand, four hundred sixteen".