7632000000 has 462 divisors, whose sum is σ = 28065929814. Its totient is φ = 1996800000.

The previous prime is 7631999993. The next prime is 7632000007. The reversal of 7632000000 is 2367.

It is an interprime number because it is at equal distance from previous prime (7631999993) and next prime (7632000007).

It can be written as a sum of positive squares in 7 ways, for example, as 7581533184 + 50466816 = 87072^2 + 7104^2 .

It is a super-3 number, since 3×7632000000³ (a number of 31 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7632000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 143999974 + ... + 144000026.

Almost surely, 2^7632000000 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 7632000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14032964907).

7632000000 is an abundant number, since it is smaller than the sum of its proper divisors (20433929814).

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

7632000000 is an frugal number, since it uses more digits than its factorization.

7632000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 7632000000 is about 87361.3186713662. The cubic root of 7632000000 is about 1968.8507129129.

Adding to 7632000000 its reverse (2367), we get a palindrome (7632002367).

The spelling of 7632000000 in words is "seven billion, six hundred thirty-two million", and thus it is an aban number.