6452402206320 has 960 divisors, whose sum is σ = 26919977011200. Its totient is φ = 1379618021376.

The previous prime is 6452402206319. The next prime is 6452402206331. The reversal of 6452402206320 is 236022042546.

6452402206320 is a `hidden beast` number, since 6 + 45 + 2 + 402 + 206 + 3 + 2 + 0 = 666.

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

It is a congruent number.

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, 701114839 + ... + 701124041.

It is an arithmetic number, because the mean of its divisors is an integer number (28041642720).

Almost surely, 2^{6452402206320} is an apocalyptic number.

6452402206320 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 6452402206320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13459988505600).

6452402206320 is an abundant number, since it is smaller than the sum of its proper divisors (20467574804880).

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

6452402206320 is a wasteful number, since it uses less digits than its factorization.

6452402206320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9427 (or 9404 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 6452402206320 its reverse (236022042546), we get a palindrome (6688424248866).

The spelling of 6452402206320 in words is "six trillion, four hundred fifty-two billion, four hundred two million, two hundred six thousand, three hundred twenty".