6309985500 has 576 divisors, whose sum is σ = 25820820480. Its totient is φ = 1259712000.

The previous prime is 6309985441. The next prime is 6309985547. The reversal of 6309985500 is 55899036.

6309985500 is a `hidden beast` number, since 6 + 3 + 0 + 9 + 98 + 550 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7780095 + ... + 7780905.

Almost surely, 2^6309985500 is an apocalyptic number.

6309985500 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 6309985500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12910410240).

6309985500 is an abundant number, since it is smaller than the sum of its proper divisors (19510834980).

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

6309985500 is a wasteful number, since it uses less digits than its factorization.

6309985500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 6309985500 is about 79435.4171638823. The cubic root of 6309985500 is about 1847.8900219872.

The spelling of 6309985500 in words is "six billion, three hundred nine million, nine hundred eighty-five thousand, five hundred".