7268633736 has 320 divisors, whose sum is σ = 23641336320. Its totient is φ = 1849236480.

The previous prime is 7268633681. The next prime is 7268633737. The reversal of 7268633736 is 6373368627.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (7268633737) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23222316 + ... + 23222628.

It is an arithmetic number, because the mean of its divisors is an integer number (73879176).

Almost surely, 2^7268633736 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 7268633736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11820668160).

7268633736 is an abundant number, since it is smaller than the sum of its proper divisors (16372702584).

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

7268633736 is a wasteful number, since it uses less digits than its factorization.

7268633736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 369 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 51.

The square root of 7268633736 is about 85256.2826775834. The cubic root of 7268633736 is about 1937.0950372559.

The spelling of 7268633736 in words is "seven billion, two hundred sixty-eight million, six hundred thirty-three thousand, seven hundred thirty-six".