6630788640 has 192 divisors, whose sum is σ = 23904840960. Its totient is φ = 1513451520.

The previous prime is 6630788639. The next prime is 6630788651. The reversal of 6630788640 is 468870366.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6630788640.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4639446 + ... + 4640874.

It is an arithmetic number, because the mean of its divisors is an integer number (124504380).

Almost surely, 2^6630788640 is an apocalyptic number.

6630788640 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 6630788640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11952420480).

6630788640 is an abundant number, since it is smaller than the sum of its proper divisors (17274052320).

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

6630788640 is a wasteful number, since it uses less digits than its factorization.

6630788640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 6630788640 is about 81429.6545491874. The cubic root of 6630788640 is about 1878.6897313524.

The spelling of 6630788640 in words is "six billion, six hundred thirty million, seven hundred eighty-eight thousand, six hundred forty".