6209777912832 has 528 divisors, whose sum is σ = 20648868039072. Its totient is φ = 1780442726400.

The previous prime is 6209777912801. The next prime is 6209777912839. The reversal of 6209777912832 is 2382197779026.

It is a super-2 number, since 2×6209777912832² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6209777912832.

It is not an unprimeable number, because it can be changed into a prime (6209777912839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205695243 + ... + 205725429.

Almost surely, 2^{6209777912832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6209777912832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10324434019536).

6209777912832 is an abundant number, since it is smaller than the sum of its proper divisors (14439090126240).

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

6209777912832 is a wasteful number, since it uses less digits than its factorization.

6209777912832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30344 (or 30323 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 6209777912832 in words is "six trillion, two hundred nine billion, seven hundred seventy-seven million, nine hundred twelve thousand, eight hundred thirty-two".