6395555936 has 192 divisors, whose sum is σ = 16384757760. Its totient is φ = 2384640000.

The previous prime is 6395555923. The next prime is 6395555981.

6395555936 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7714370 + ... + 7715198.

It is an arithmetic number, because the mean of its divisors is an integer number (85337280).

Almost surely, 2^6395555936 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 6395555936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8192378880).

6395555936 is an abundant number, since it is smaller than the sum of its proper divisors (9989201824).

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

6395555936 is a wasteful number, since it uses less digits than its factorization.

6395555936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 981 counting only the distinct ones).

The product of its digits is 16402500, while the sum is 56.

The square root of 6395555936 is about 79972.2197766199. The cubic root of 6395555936 is about 1856.2056939834.

The spelling of 6395555936 in words is "six billion, three hundred ninety-five million, five hundred fifty-five thousand, nine hundred thirty-six".