6395103680 has 336 divisors, whose sum is σ = 18564734016. Its totient is φ = 2090188800.

The previous prime is 6395103667. The next prime is 6395103683. The reversal of 6395103680 is 863015936.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6395103683) 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, 42351605 + ... + 42351755.

Almost surely, 2^6395103680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6395103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9282367008).

6395103680 is an abundant number, since it is smaller than the sum of its proper divisors (12169630336).

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

6395103680 is a wasteful number, since it uses less digits than its factorization.

6395103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 41.

The square root of 6395103680 is about 79969.3921447450. The cubic root of 6395103680 is about 1856.1619396453.

The spelling of 6395103680 in words is "six billion, three hundred ninety-five million, one hundred three thousand, six hundred eighty".