6285996349200 has 600 divisors, whose sum is σ = 23358736585800. Its totient is φ = 1617016504320.

The previous prime is 6285996349183. The next prime is 6285996349201. The reversal of 6285996349200 is 29436995826.

6285996349200 is a `hidden beast` number, since 6 + 2 + 8 + 59 + 96 + 3 + 492 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 591244117776 + 5694752231424 = 768924^2 + 2386368^2 .

It is a tau number, because it is divible by the number of its divisors (600).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6285996349201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1399062154 + ... + 1399066646.

It is an arithmetic number, because the mean of its divisors is an integer number (38931227643).

Almost surely, 2^{6285996349200} is an apocalyptic number.

6285996349200 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 6285996349200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11679368292900).

6285996349200 is an abundant number, since it is smaller than the sum of its proper divisors (17072740236600).

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

6285996349200 is a wasteful number, since it uses less digits than its factorization.

6285996349200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6041 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 6285996349200 in words is "six trillion, two hundred eighty-five billion, nine hundred ninety-six million, three hundred forty-nine thousand, two hundred".