7630180632 has 96 divisors (see below), whose sum is σ = 21786317280. Its totient is φ = 2407680000.

The previous prime is 7630180619. The next prime is 7630180637. The reversal of 7630180632 is 2360810367.

It is a happy number.

7630180632 is a `hidden beast` number, since 7 + 6 + 3 + 0 + 18 + 0 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7630180637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136882 + ... + 184382.

It is an arithmetic number, because the mean of its divisors is an integer number (226940805).

Almost surely, 2^7630180632 is an apocalyptic number.

7630180632 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7630180632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10893158640).

7630180632 is an abundant number, since it is smaller than the sum of its proper divisors (14156136648).

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

7630180632 is a wasteful number, since it uses less digits than its factorization.

7630180632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47633 (or 47626 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 7630180632 is about 87350.9051584470. The cubic root of 7630180632 is about 1968.6942511440.

Adding to 7630180632 its reverse (2360810367), we get a palindrome (9990990999).

The spelling of 7630180632 in words is "seven billion, six hundred thirty million, one hundred eighty thousand, six hundred thirty-two".