6863898240 has 384 divisors, whose sum is σ = 25296261120. Its totient is φ = 1709015040.

The previous prime is 6863898221. The next prime is 6863898259. The reversal of 6863898240 is 428983686.

It is an interprime number because it is at equal distance from previous prime (6863898221) and next prime (6863898259).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×6863898240² = 94226198098150195200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18702537 + ... + 18702903.

It is an arithmetic number, because the mean of its divisors is an integer number (65875680).

Almost surely, 2^6863898240 is an apocalyptic number.

6863898240 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 6863898240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648130560).

6863898240 is an abundant number, since it is smaller than the sum of its proper divisors (18432362880).

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

6863898240 is a wasteful number, since it uses less digits than its factorization.

6863898240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 6863898240 is about 82848.6465791687. The cubic root of 6863898240 is about 1900.4521767741.

The spelling of 6863898240 in words is "six billion, eight hundred sixty-three million, eight hundred ninety-eight thousand, two hundred forty".