6629040000 has 960 divisors, whose sum is σ = 27837089280. Its totient is φ = 1555200000.

The previous prime is 6629039999. The next prime is 6629040053. The reversal of 6629040000 is 409266.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 213839985 + ... + 213840015.

It is an arithmetic number, because the mean of its divisors is an integer number (28996968).

Almost surely, 2^6629040000 is an apocalyptic number.

6629040000 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 6629040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918544640).

6629040000 is an abundant number, since it is smaller than the sum of its proper divisors (21208049280).

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

6629040000 is an equidigital number, since it uses as much as digits as its factorization.

6629040000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 6629040000 is about 81418.9167208702. The cubic root of 6629040000 is about 1878.5245704636.

Adding to 6629040000 its reverse (409266), we get a palindrome (6629449266).

The spelling of 6629040000 in words is "six billion, six hundred twenty-nine million, forty thousand".