6713281411200 has 1152 divisors, whose sum is σ = 29529695395200. Its totient is φ = 1414162022400.

The previous prime is 6713281411117. The next prime is 6713281411211. The reversal of 6713281411200 is 21141823176.

6713281411200 is a `hidden beast` number, since 6 + 7 + 1 + 32 + 8 + 1 + 411 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

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 143 ways as a sum of consecutive naturals, for example, 2015393535 + ... + 2015396865.

Almost surely, 2^{6713281411200} is an apocalyptic number.

6713281411200 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 6713281411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14764847697600).

6713281411200 is an abundant number, since it is smaller than the sum of its proper divisors (22816413984000).

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

6713281411200 is a wasteful number, since it uses less digits than its factorization.

6713281411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 4130 counting only the distinct ones).

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

The spelling of 6713281411200 in words is "six trillion, seven hundred thirteen billion, two hundred eighty-one million, four hundred eleven thousand, two hundred".