6629984592 has 240 divisors, whose sum is σ = 22096603584. Its totient is φ = 1693440000.

The previous prime is 6629984579. The next prime is 6629984651. The reversal of 6629984592 is 2954899266.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1576092 + ... + 1580292.

Almost surely, 2^6629984592 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 6629984592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048301792).

6629984592 is an abundant number, since it is smaller than the sum of its proper divisors (15466618992).

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

6629984592 is a wasteful number, since it uses less digits than its factorization.

6629984592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4285 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 60.

The square root of 6629984592 is about 81424.7173283396. The cubic root of 6629984592 is about 1878.6137917790.

It can be divided in two parts, 662998 and 4592, that added together give a triangular number (667590 = T₁₁₅₅).

The spelling of 6629984592 in words is "six billion, six hundred twenty-nine million, nine hundred eighty-four thousand, five hundred ninety-two".