6445235520 has 336 divisors, whose sum is σ = 22866217920. Its totient is φ = 1665589248.

The previous prime is 6445235477. The next prime is 6445235521. The reversal of 6445235520 is 255325446.

6445235520 is a `hidden beast` number, since 64 + 4 + 523 + 55 + 20 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6445235521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14103132 + ... + 14103588.

It is an arithmetic number, because the mean of its divisors is an integer number (68054220).

Almost surely, 2^6445235520 is an apocalyptic number.

6445235520 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 6445235520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11433108960).

6445235520 is an abundant number, since it is smaller than the sum of its proper divisors (16420982400).

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

6445235520 is a wasteful number, since it uses less digits than its factorization.

6445235520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 6445235520 is about 80282.2241844357. The cubic root of 6445235520 is about 1860.9995321445. Note that the first 3 decimals are identical.

The spelling of 6445235520 in words is "six billion, four hundred forty-five million, two hundred thirty-five thousand, five hundred twenty".