7627638312 has 432 divisors, whose sum is σ = 26069521140. Its totient is φ = 2007742464.

The previous prime is 7627638307. The next prime is 7627638329. The reversal of 7627638312 is 2138367267.

7627638312 is a `hidden beast` number, since 7 + 6 + 2 + 7 + 638 + 3 + 1 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7290768996 + 336869316 = 85386^2 + 18354^2 .

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

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 67501168 + ... + 67501280.

Almost surely, 2^7627638312 is an apocalyptic number.

7627638312 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 7627638312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13034760570).

7627638312 is an abundant number, since it is smaller than the sum of its proper divisors (18441882828).

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

7627638312 is a wasteful number, since it uses less digits than its factorization.

7627638312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 197 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 7627638312 is about 87336.3516068767. The cubic root of 7627638312 is about 1968.4755753793.

The spelling of 7627638312 in words is "seven billion, six hundred twenty-seven million, six hundred thirty-eight thousand, three hundred twelve".