7682629812 has 144 divisors (see below), whose sum is σ = 21278537280. Its totient is φ = 2138572800.

The previous prime is 7682629807. The next prime is 7682629813. The reversal of 7682629812 is 2189262867.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7682629813) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5375514 + ... + 5376942.

It is an arithmetic number, because the mean of its divisors is an integer number (147767620).

Almost surely, 2^7682629812 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 7682629812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10639268640).

7682629812 is an abundant number, since it is smaller than the sum of its proper divisors (13595907468).

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

7682629812 is a wasteful number, since it uses less digits than its factorization.

7682629812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1699 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 51.

The square root of 7682629812 is about 87650.6121598703. The cubic root of 7682629812 is about 1973.1948307826.

The spelling of 7682629812 in words is "seven billion, six hundred eighty-two million, six hundred twenty-nine thousand, eight hundred twelve".