6216012640800 has 1440 divisors, whose sum is σ = 24932148240384. Its totient is φ = 1500291072000.

The previous prime is 6216012640793. The next prime is 6216012640837. The reversal of 6216012640800 is 80462106126.

6216012640800 is a `hidden beast` number, since 6 + 2 + 1 + 6 + 0 + 1 + 2 + 640 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6522573124 + ... + 6522574076.

Almost surely, 2^{6216012640800} is an apocalyptic number.

6216012640800 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 6216012640800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12466074120192).

6216012640800 is an abundant number, since it is smaller than the sum of its proper divisors (18716135599584).

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

6216012640800 is a wasteful number, since it uses less digits than its factorization.

6216012640800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224 (or 1202 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

Adding to 6216012640800 its reverse (80462106126), we get a palindrome (6296474746926).

The spelling of 6216012640800 in words is "six trillion, two hundred sixteen billion, twelve million, six hundred forty thousand, eight hundred".