6410504596320 has 576 divisors, whose sum is σ = 25059273523200. Its totient is φ = 1517899944960.

The previous prime is 6410504596261. The next prime is 6410504596351. The reversal of 6410504596320 is 236954050146.

6410504596320 is a `hidden beast` number, since 6 + 4 + 1 + 0 + 5 + 0 + 4 + 5 + 9 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87828001 + ... + 87900959.

It is an arithmetic number, because the mean of its divisors is an integer number (43505683200).

Almost surely, 2^{6410504596320} is an apocalyptic number.

6410504596320 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 6410504596320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12529636761600).

6410504596320 is an abundant number, since it is smaller than the sum of its proper divisors (18648768926880).

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

6410504596320 is a wasteful number, since it uses less digits than its factorization.

6410504596320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73080 (or 73023 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 6410504596320 in words is "six trillion, four hundred ten billion, five hundred four million, five hundred ninety-six thousand, three hundred twenty".