6863875200 has 1152 divisors, whose sum is σ = 31582561920. Its totient is φ = 1433272320.

The previous prime is 6863875127. The next prime is 6863875289. The reversal of 6863875200 is 25783686.

6863875200 is a `hidden beast` number, since 6 + 8 + 638 + 7 + 5 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×6863875200² = 94225565522350080000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70761552 + ... + 70761648.

Almost surely, 2^6863875200 is an apocalyptic number.

6863875200 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 6863875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15791280960).

6863875200 is an abundant number, since it is smaller than the sum of its proper divisors (24718686720).

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

6863875200 is a wasteful number, since it uses less digits than its factorization.

6863875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 6863875200 is about 82848.5075303110. The cubic root of 6863875200 is about 1900.4500503602.

The spelling of 6863875200 in words is "six billion, eight hundred sixty-three million, eight hundred seventy-five thousand, two hundred".