6206400170640 has 960 divisors, whose sum is σ = 23227665477120. Its totient is φ = 1482167808000.

The previous prime is 6206400170591. The next prime is 6206400170651. The reversal of 6206400170640 is 460710046026.

6206400170640 is a `hidden beast` number, since 6 + 2 + 0 + 6 + 4 + 0 + 0 + 1 + 7 + 0 + 640 = 666.

It is a super-2 number, since 2×6206400170640² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6206400170595 and 6206400170604.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11472088770 + ... + 11472089310.

It is an arithmetic number, because the mean of its divisors is an integer number (24195484872).

Almost surely, 2^{6206400170640} is an apocalyptic number.

6206400170640 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 6206400170640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11613832738560).

6206400170640 is an abundant number, since it is smaller than the sum of its proper divisors (17021265306480).

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

6206400170640 is a wasteful number, since it uses less digits than its factorization.

6206400170640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 6206400170640 in words is "six trillion, two hundred six billion, four hundred million, one hundred seventy thousand, six hundred forty".