6523768202112 has 768 divisors, whose sum is σ = 23647971409920. Its totient is φ = 1685191495680.

The previous prime is 6523768202101. The next prime is 6523768202113. The reversal of 6523768202112 is 2112028673256.

6523768202112 is a `hidden beast` number, since 6 + 523 + 7 + 6 + 8 + 2 + 0 + 2 + 112 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6523768202113) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247220983 + ... + 247247369.

It is an arithmetic number, because the mean of its divisors is an integer number (30791629440).

Almost surely, 2^{6523768202112} is an apocalyptic number.

6523768202112 is a gapful number since it is divisible by the number (62) 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 6523768202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11823985704960).

6523768202112 is an abundant number, since it is smaller than the sum of its proper divisors (17124203207808).

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

6523768202112 is a wasteful number, since it uses less digits than its factorization.

6523768202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26511 (or 26496 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 6523768202112 in words is "six trillion, five hundred twenty-three billion, seven hundred sixty-eight million, two hundred two thousand, one hundred twelve".