6385357440 has 512 divisors, whose sum is σ = 28200960000. Its totient is φ = 1326551040.

The previous prime is 6385357427. The next prime is 6385357441. The reversal of 6385357440 is 447535836.

6385357440 is a `hidden beast` number, since 6 + 3 + 8 + 535 + 74 + 40 = 666.

It is a super-3 number, since 3×6385357440³ (a number of 30 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6385357441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1328161 + ... + 1332959.

It is an arithmetic number, because the mean of its divisors is an integer number (55080000).

Almost surely, 2^6385357440 is an apocalyptic number.

6385357440 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 6385357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14100480000).

6385357440 is an abundant number, since it is smaller than the sum of its proper divisors (21815602560).

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

6385357440 is a wasteful number, since it uses less digits than its factorization.

6385357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4845 (or 4827 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The square root of 6385357440 is about 79908.4315951702. The cubic root of 6385357440 is about 1855.2185200878.

The spelling of 6385357440 in words is "six billion, three hundred eighty-five million, three hundred fifty-seven thousand, four hundred forty".