6724815552 has 504 divisors, whose sum is σ = 24364005120. Its totient is φ = 1736017920.

The previous prime is 6724815551. The next prime is 6724815569. The reversal of 6724815552 is 2555184276.

6724815552 is a `hidden beast` number, since 6 + 72 + 481 + 55 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a junction number, because it is equal to n+sod(n) for n = 6724815498 and 6724815507.

It is not an unprimeable number, because it can be changed into a prime (6724815551) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48379899 + ... + 48380037.

It is an arithmetic number, because the mean of its divisors is an integer number (48341280).

Almost surely, 2^6724815552 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 6724815552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12182002560).

6724815552 is an abundant number, since it is smaller than the sum of its proper divisors (17639189568).

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

6724815552 is a wasteful number, since it uses less digits than its factorization.

6724815552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 235 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 6724815552 is about 82004.9727272682. The cubic root of 6724815552 is about 1887.5282444321.

The spelling of 6724815552 in words is "six billion, seven hundred twenty-four million, eight hundred fifteen thousand, five hundred fifty-two".