6404311583520 has 192 divisors, whose sum is σ = 20221771772160. Its totient is φ = 1703741902848.

The previous prime is 6404311583459. The next prime is 6404311583563. The reversal of 6404311583520 is 253851134046.

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, 353176374 + ... + 353194506.

It is an arithmetic number, because the mean of its divisors is an integer number (105321727980).

Almost surely, 2^{6404311583520} is an apocalyptic number.

6404311583520 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 6404311583520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10110885886080).

6404311583520 is an abundant number, since it is smaller than the sum of its proper divisors (13817460188640).

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

6404311583520 is a wasteful number, since it uses less digits than its factorization.

6404311583520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19867 (or 19859 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 6404311583520 in words is "six trillion, four hundred four billion, three hundred eleven million, five hundred eighty-three thousand, five hundred twenty".