7627649484 has 288 divisors, whose sum is σ = 24292396800. Its totient is φ = 1839075840.

The previous prime is 7627649473. The next prime is 7627649489. The reversal of 7627649484 is 4849467267.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (7627649489) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4210939 + ... + 4212749.

It is an arithmetic number, because the mean of its divisors is an integer number (84348600).

Almost surely, 2^7627649484 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 7627649484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12146198400).

7627649484 is an abundant number, since it is smaller than the sum of its proper divisors (16664747316).

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

7627649484 is a wasteful number, since it uses less digits than its factorization.

7627649484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1884 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 57.

The square root of 7627649484 is about 87336.4155664749. The cubic root of 7627649484 is about 1968.4765364368.

The spelling of 7627649484 in words is "seven billion, six hundred twenty-seven million, six hundred forty-nine thousand, four hundred eighty-four".