6116443904640 has 768 divisors, whose sum is σ = 22196705944320. Its totient is φ = 1428567883776.

The previous prime is 6116443904639. The next prime is 6116443904687. The reversal of 6116443904640 is 464093446116.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6116443904640.

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 95 ways as a sum of consecutive naturals, for example, 472196404 + ... + 472209356.

It is an arithmetic number, because the mean of its divisors is an integer number (28901960865).

Almost surely, 2^{6116443904640} is an apocalyptic number.

6116443904640 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 6116443904640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11098352972160).

6116443904640 is an abundant number, since it is smaller than the sum of its proper divisors (16080262039680).

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

6116443904640 is a wasteful number, since it uses less digits than its factorization.

6116443904640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13069 (or 13040 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 6116443904640 in words is "six trillion, one hundred sixteen billion, four hundred forty-three million, nine hundred four thousand, six hundred forty".