6863534160 has 240 divisors, whose sum is σ = 25665964416. Its totient is φ = 1486107648.

The previous prime is 6863534159. The next prime is 6863534177. The reversal of 6863534160 is 614353686.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 600822 + ... + 612138.

Almost surely, 2^6863534160 is an apocalyptic number.

6863534160 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 6863534160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12832982208).

6863534160 is an abundant number, since it is smaller than the sum of its proper divisors (18802430256).

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

6863534160 is a wasteful number, since it uses less digits than its factorization.

6863534160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11378 (or 11353 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 6863534160 is about 82846.4492902381. The cubic root of 6863534160 is about 1900.4185744470.

The spelling of 6863534160 in words is "six billion, eight hundred sixty-three million, five hundred thirty-four thousand, one hundred sixty".