6216293600640 has 160 divisors (see below), whose sum is σ = 22199507019360. Its totient is φ = 1657678279680.

The previous prime is 6216293600623. The next prime is 6216293600641. The reversal of 6216293600640 is 460063926126.

6216293600640 is a `hidden beast` number, since 6 + 2 + 16 + 29 + 3 + 600 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×6216293600640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6216293600641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59904696 + ... + 60008375.

It is an arithmetic number, because the mean of its divisors is an integer number (138746918871).

Almost surely, 2^{6216293600640} is an apocalyptic number.

6216293600640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6216293600640 is an abundant number, since it is smaller than the sum of its proper divisors (15983213418720).

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

6216293600640 is a wasteful number, since it uses less digits than its factorization.

6216293600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119913102 (or 119913081 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 6216293600640 in words is "six trillion, two hundred sixteen billion, two hundred ninety-three million, six hundred thousand, six hundred forty".