7632563136 has 112 divisors (see below), whose sum is σ = 22296290688. Its totient is φ = 2284979200.

The previous prime is 7632563129. The next prime is 7632563137. The reversal of 7632563136 is 6313652367.

It is a super-3 number, since 3×7632563136³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7632563137) 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 15 ways as a sum of consecutive naturals, for example, 153526 + ... + 197066.

It is an arithmetic number, because the mean of its divisors is an integer number (199074024).

Almost surely, 2^7632563136 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 7632563136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11148145344).

7632563136 is an abundant number, since it is smaller than the sum of its proper divisors (14663727552).

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

7632563136 is a wasteful number, since it uses less digits than its factorization.

7632563136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43650 (or 43640 counting only the distinct ones).

The product of its digits is 408240, while the sum is 42.

The square root of 7632563136 is about 87364.5416401872. The cubic root of 7632563136 is about 1968.8991363688.

The spelling of 7632563136 in words is "seven billion, six hundred thirty-two million, five hundred sixty-three thousand, one hundred thirty-six".