7633489248 has 864 divisors, whose sum is σ = 30255563520. Its totient is φ = 1847577600.

The previous prime is 7633489219. The next prime is 7633489249. The reversal of 7633489248 is 8429843367.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 7633489194 and 7633489203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7633489249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 125139138 + ... + 125139198.

Almost surely, 2^7633489248 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 7633489248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15127781760).

7633489248 is an abundant number, since it is smaller than the sum of its proper divisors (22622074272).

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

7633489248 is a wasteful number, since it uses less digits than its factorization.

7633489248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 103 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 54.

The square root of 7633489248 is about 87369.8417533190. The cubic root of 7633489248 is about 1968.9787665594.

The spelling of 7633489248 in words is "seven billion, six hundred thirty-three million, four hundred eighty-nine thousand, two hundred forty-eight".