8274781440 has 216 divisors, whose sum is σ = 28699194888. Its totient is φ = 2201272320.

The previous prime is 8274781397. The next prime is 8274781441. The reversal of 8274781440 is 441874728.

It can be written as a sum of positive squares in 4 ways, for example, as 3899752704 + 4375028736 = 62448^2 + 66144^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8274781441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7798510 + ... + 7799570.

It is an arithmetic number, because the mean of its divisors is an integer number (132866643).

Almost surely, 2^8274781440 is an apocalyptic number.

8274781440 is a gapful number since it is divisible by the number (80) 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 8274781440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14349597444).

8274781440 is an abundant number, since it is smaller than the sum of its proper divisors (20424413448).

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

8274781440 is a wasteful number, since it uses less digits than its factorization.

8274781440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The square root of 8274781440 is about 90965.8256709628. The cubic root of 8274781440 is about 2022.6411747381.

The spelling of 8274781440 in words is "eight billion, two hundred seventy-four million, seven hundred eighty-one thousand, four hundred forty".