6863512320 has 720 divisors, whose sum is σ = 28788513600. Its totient is φ = 1560674304.

The previous prime is 6863512307. The next prime is 6863512333. The reversal of 6863512320 is 232153686.

It is a happy number.

6863512320 is a `hidden beast` number, since 6 + 8 + 635 + 12 + 3 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6863512307) and next prime (6863512333).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35562144 + ... + 35562336.

Almost surely, 2^6863512320 is an apocalyptic number.

6863512320 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 6863512320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14394256800).

6863512320 is an abundant number, since it is smaller than the sum of its proper divisors (21925001280).

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

6863512320 is an equidigital number, since it uses as much as digits as its factorization.

6863512320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 6863512320 is about 82846.3174800184. The cubic root of 6863512320 is about 1900.4165587126.

The spelling of 6863512320 in words is "six billion, eight hundred sixty-three million, five hundred twelve thousand, three hundred twenty".