6416624143104 has 576 divisors, whose sum is σ = 20445372874752. Its totient is φ = 1748094566400.

The previous prime is 6416624143099. The next prime is 6416624143151. The reversal of 6416624143104 is 4013414266146.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3322953019 + ... + 3322954949.

Almost surely, 2^{6416624143104} is an apocalyptic number.

6416624143104 is a gapful number since it is divisible by the number (64) 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 6416624143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10222686437376).

6416624143104 is an abundant number, since it is smaller than the sum of its proper divisors (14028748731648).

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

6416624143104 is a wasteful number, since it uses less digits than its factorization.

6416624143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 6416624143104 in words is "six trillion, four hundred sixteen billion, six hundred twenty-four million, one hundred forty-three thousand, one hundred four".