6631020000 has 720 divisors, whose sum is σ = 27356080752. Its totient is φ = 1505280000.

The previous prime is 6631019987. The next prime is 6631020023. The reversal of 6631020000 is 201366.

It is a happy number.

6631020000 is a `hidden beast` number, since 663 + 1 + 0 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 33659902 + ... + 33660098.

Almost surely, 2^6631020000 is an apocalyptic number.

6631020000 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 6631020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13678040376).

6631020000 is an abundant number, since it is smaller than the sum of its proper divisors (20725060752).

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

6631020000 is a wasteful number, since it uses less digits than its factorization.

6631020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 6631020000 is about 81431.0751494784. The cubic root of 6631020000 is about 1878.7115813728.

Adding to 6631020000 its reverse (201366), we get a palindrome (6631221366).

The spelling of 6631020000 in words is "six billion, six hundred thirty-one million, twenty thousand".