6629575680 has 1408 divisors, whose sum is σ = 31693455360. Its totient is φ = 1274019840.

The previous prime is 6629575639. The next prime is 6629575717. The reversal of 6629575680 is 865759266.

It is a happy number.

6629575680 is a `hidden beast` number, since 6 + 6 + 2 + 9 + 575 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 213857265 + ... + 213857295.

Almost surely, 2^6629575680 is an apocalyptic number.

6629575680 is a gapful number since it is divisible by the number (60) 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 6629575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15846727680).

6629575680 is an abundant number, since it is smaller than the sum of its proper divisors (25063879680).

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

6629575680 is a wasteful number, since it uses less digits than its factorization.

6629575680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 6629575680 is about 81422.2063076161. The cubic root of 6629575680 is about 1878.5751690891.

The spelling of 6629575680 in words is "six billion, six hundred twenty-nine million, five hundred seventy-five thousand, six hundred eighty".