6581632320 has 280 divisors, whose sum is σ = 24170201088. Its totient is φ = 1698278400.

The previous prime is 6581632283. The next prime is 6581632327. The reversal of 6581632320 is 232361856.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6581632327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 799425 + ... + 807615.

Almost surely, 2^6581632320 is an apocalyptic number.

6581632320 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 6581632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12085100544).

6581632320 is an abundant number, since it is smaller than the sum of its proper divisors (17588568768).

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

6581632320 is a wasteful number, since it uses less digits than its factorization.

6581632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8251 (or 8232 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6581632320 is about 81127.2600301526. The cubic root of 6581632320 is about 1874.0357538073.

The spelling of 6581632320 in words is "six billion, five hundred eighty-one million, six hundred thirty-two thousand, three hundred twenty".