6413728706112 has 896 divisors, whose sum is σ = 21865018097664. Its totient is φ = 1614565343232.

The previous prime is 6413728706093. The next prime is 6413728706131. The reversal of 6413728706112 is 2116078273146.

It is an interprime number because it is at equal distance from previous prime (6413728706093) and next prime (6413728706131).

It is a super-2 number, since 2×6413728706112² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5814803353 + ... + 5814804455.

It is an arithmetic number, because the mean of its divisors is an integer number (24402921984).

Almost surely, 2^{6413728706112} 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 6413728706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10932509048832).

6413728706112 is an abundant number, since it is smaller than the sum of its proper divisors (15451289391552).

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

6413728706112 is a wasteful number, since it uses less digits than its factorization.

6413728706112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355 (or 1345 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 6413728706112 in words is "six trillion, four hundred thirteen billion, seven hundred twenty-eight million, seven hundred six thousand, one hundred twelve".