6629575680000 has 4480 divisors, whose sum is σ = 33017558999040. Its totient is φ = 1274019840000.

The previous prime is 6629575679977. The next prime is 6629575680037. The reversal of 6629575680000 is 865759266.

It is a happy number.

6629575680000 is a `hidden beast` number, since 6 + 6 + 2 + 9 + 575 + 68 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 213857279985 + ... + 213857280015.

It is an arithmetic number, because the mean of its divisors is an integer number (7369990848).

Almost surely, 2^{6629575680000} is an apocalyptic number.

6629575680000 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 6629575680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508779499520).

6629575680000 is an abundant number, since it is smaller than the sum of its proper divisors (26387983319040).

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

6629575680000 is a wasteful number, since it uses less digits than its factorization.

6629575680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 78 counting only the distinct ones).

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

The spelling of 6629575680000 in words is "six trillion, six hundred twenty-nine billion, five hundred seventy-five million, six hundred eighty thousand".