6656573952 has 480 divisors, whose sum is σ = 23734909440. Its totient is φ = 1834721280.

The previous prime is 6656573939. The next prime is 6656573953. The reversal of 6656573952 is 2593756566.

It is a happy number.

6656573952 is a `hidden beast` number, since 6 + 6 + 565 + 73 + 9 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10206000) is a multiple of the sum of its prime divisors (360).

It is not an unprimeable number, because it can be changed into a prime (6656573953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20998498 + ... + 20998814.

It is an arithmetic number, because the mean of its divisors is an integer number (49447728).

Almost surely, 2^6656573952 is an apocalyptic number.

6656573952 is a gapful number since it is divisible by the number (62) 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 6656573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11867454720).

6656573952 is an abundant number, since it is smaller than the sum of its proper divisors (17078335488).

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

6656573952 is a wasteful number, since it uses less digits than its factorization.

6656573952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 360 counting only the distinct ones).

The product of its digits is 10206000, while the sum is 54.

The square root of 6656573952 is about 81587.8296806576. The cubic root of 6656573952 is about 1881.1218172622.

The spelling of 6656573952 in words is "six billion, six hundred fifty-six million, five hundred seventy-three thousand, nine hundred fifty-two".