6441474600000 has 1008 divisors, whose sum is σ = 25407263831040. Its totient is φ = 1547212800000.

The previous prime is 6441474599981. The next prime is 6441474600049. The reversal of 6441474600000 is 64741446.

6441474600000 is a `hidden beast` number, since 6 + 4 + 4 + 1 + 47 + 4 + 600 + 0 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 2237398561 + ... + 2237401439.

It is an arithmetic number, because the mean of its divisors is an integer number (25205618880).

Almost surely, 2^{6441474600000} is an apocalyptic number.

6441474600000 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 6441474600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12703631915520).

6441474600000 is an abundant number, since it is smaller than the sum of its proper divisors (18965789231040).

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

6441474600000 is a wasteful number, since it uses less digits than its factorization.

6441474600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 6441474600000 in words is "six trillion, four hundred forty-one billion, four hundred seventy-four million, six hundred thousand".