6614891888640 has 640 divisors, whose sum is σ = 24439414348800. Its totient is φ = 1496510889984.

The previous prime is 6614891888629. The next prime is 6614891888653. The reversal of 6614891888640 is 468881984166.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×6614891888640² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5890375119 + ... + 5890376241.

It is an arithmetic number, because the mean of its divisors is an integer number (38186584920).

Almost surely, 2^{6614891888640} is an apocalyptic number.

6614891888640 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 6614891888640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12219707174400).

6614891888640 is an abundant number, since it is smaller than the sum of its proper divisors (17824522460160).

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

6614891888640 is an equidigital number, since it uses as much as digits as its factorization.

6614891888640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 69.

The spelling of 6614891888640 in words is "six trillion, six hundred fourteen billion, eight hundred ninety-one million, eight hundred eighty-eight thousand, six hundred forty".