6741806101200 has 720 divisors, whose sum is σ = 25072920897024. Its totient is φ = 1673471923200.

The previous prime is 6741806101187. The next prime is 6741806101237. The reversal of 6741806101200 is 21016081476.

It is a happy number.

6741806101200 is a `hidden beast` number, since 6 + 7 + 4 + 18 + 0 + 610 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1007589855 + ... + 1007596545.

Almost surely, 2^{6741806101200} is an apocalyptic number.

6741806101200 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 6741806101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12536460448512).

6741806101200 is an abundant number, since it is smaller than the sum of its proper divisors (18331114795824).

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

6741806101200 is a wasteful number, since it uses less digits than its factorization.

6741806101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7064 (or 7050 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 6741806101200 in words is "six trillion, seven hundred forty-one billion, eight hundred six million, one hundred one thousand, two hundred".