7268684040 has 224 divisors, whose sum is σ = 25187048280. Its totient is φ = 1885648896.

The previous prime is 7268683973. The next prime is 7268684041. The reversal of 7268684040 is 404868627.

It can be written as a sum of positive squares in 4 ways, for example, as 6888668004 + 380016036 = 82998^2 + 19494^2 .

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

It is not an unprimeable number, because it can be changed into a prime (7268684041) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1075552 + ... + 1082288.

Almost surely, 2^7268684040 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 7268684040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12593524140).

7268684040 is an abundant number, since it is smaller than the sum of its proper divisors (17918364240).

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

7268684040 is a wasteful number, since it uses less digits than its factorization.

7268684040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6803 (or 6784 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 7268684040 is about 85256.5776934542. The cubic root of 7268684040 is about 1937.0995059271.

The spelling of 7268684040 in words is "seven billion, two hundred sixty-eight million, six hundred eighty-four thousand, forty".