6417281872820 has 288 divisors, whose sum is σ = 17879390661888. Its totient is φ = 1913660356608.

The previous prime is 6417281872819. The next prime is 6417281872831. The reversal of 6417281872820 is 282781827146.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19468904 + ... + 19795776.

It is an arithmetic number, because the mean of its divisors is an integer number (62081217576).

Almost surely, 2^{6417281872820} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6417281872820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8939695330944).

6417281872820 is an abundant number, since it is smaller than the sum of its proper divisors (11462108789068).

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

6417281872820 is a wasteful number, since it uses less digits than its factorization.

6417281872820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326999 (or 326990 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 56.

The spelling of 6417281872820 in words is "six trillion, four hundred seventeen billion, two hundred eighty-one million, eight hundred seventy-two thousand, eight hundred twenty".