6395964120 has 576 divisors, whose sum is σ = 27031324320. Its totient is φ = 1348171776.

The previous prime is 6395964119. The next prime is 6395964163. The reversal of 6395964120 is 214695936.

6395964120 is a `hidden beast` number, since 6 + 39 + 596 + 4 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6191124 + ... + 6192156.

Almost surely, 2^6395964120 is an apocalyptic number.

6395964120 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 6395964120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13515662160).

6395964120 is an abundant number, since it is smaller than the sum of its proper divisors (20635360200).

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

6395964120 is a wasteful number, since it uses less digits than its factorization.

6395964120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6395964120 is about 79974.7717721032. The cubic root of 6395964120 is about 1856.2451827240.

The spelling of 6395964120 in words is "six billion, three hundred ninety-five million, nine hundred sixty-four thousand, one hundred twenty".