6325586040 has 256 divisors, whose sum is σ = 20457722880. Its totient is φ = 1560965120.

The previous prime is 6325586027. The next prime is 6325586081. The reversal of 6325586040 is 406855236.

It is a self number, because there is not a number n which added to its sum of digits gives 6325586040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12140980 + ... + 12141500.

It is an arithmetic number, because the mean of its divisors is an integer number (79912980).

Almost surely, 2^6325586040 is an apocalyptic number.

6325586040 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 6325586040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10228861440).

6325586040 is an abundant number, since it is smaller than the sum of its proper divisors (14132136840).

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

6325586040 is a wasteful number, since it uses less digits than its factorization.

6325586040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 39.

The square root of 6325586040 is about 79533.5529195069. The cubic root of 6325586040 is about 1849.4116502597.

The spelling of 6325586040 in words is "six billion, three hundred twenty-five million, five hundred eighty-six thousand, forty".