6380985600 has 648 divisors, whose sum is σ = 25878364512. Its totient is φ = 1542758400.

The previous prime is 6380985599. The next prime is 6380985617. The reversal of 6380985600 is 65890836.

6380985600 is a `hidden beast` number, since 6 + 3 + 80 + 9 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a super-3 number, since 3×6380985600³ (a number of 30 digits) contains 333 as substring.

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 71 ways as a sum of consecutive naturals, for example, 17107014 + ... + 17107386.

Almost surely, 2^6380985600 is an apocalyptic number.

6380985600 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 6380985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12939182256).

6380985600 is an abundant number, since it is smaller than the sum of its proper divisors (19497378912).

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

6380985600 is a wasteful number, since it uses less digits than its factorization.

6380985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 6380985600 is about 79881.0716002233. The cubic root of 6380985600 is about 1854.7950214629.

The spelling of 6380985600 in words is "six billion, three hundred eighty million, nine hundred eighty-five thousand, six hundred".