7627127640 has 128 divisors (see below), whose sum is σ = 24982283520. Its totient is φ = 1847462400.

The previous prime is 7627127633. The next prime is 7627127647. The reversal of 7627127640 is 467217267.

It is an interprime number because it is at equal distance from previous prime (7627127633) and next prime (7627127647).

It is a junction number, because it is equal to n+sod(n) for n = 7627127592 and 7627127601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7627127647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3128502 + ... + 3130938.

It is an arithmetic number, because the mean of its divisors is an integer number (195174090).

Almost surely, 2^7627127640 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 7627127640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12491141760).

7627127640 is an abundant number, since it is smaller than the sum of its proper divisors (17355155880).

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

7627127640 is a wasteful number, since it uses less digits than its factorization.

7627127640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4833 (or 4829 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 7627127640 is about 87333.4279643253. The cubic root of 7627127640 is about 1968.4316444467.

The spelling of 7627127640 in words is "seven billion, six hundred twenty-seven million, one hundred twenty-seven thousand, six hundred forty".