6864624000 has 768 divisors, whose sum is σ = 28091044800. Its totient is φ = 1592524800.

The previous prime is 6864623989. The next prime is 6864624007. The reversal of 6864624000 is 4264686.

It is a happy number.

6864624000 is a `hidden beast` number, since 6 + 8 + 646 + 2 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×6864624000² = 94246125322752000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6864624007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35567904 + ... + 35568096.

Almost surely, 2^6864624000 is an apocalyptic number.

6864624000 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 6864624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14045522400).

6864624000 is an abundant number, since it is smaller than the sum of its proper divisors (21226420800).

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

6864624000 is a wasteful number, since it uses less digits than its factorization.

6864624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 6864624000 is about 82853.0264987345. The cubic root of 6864624000 is about 1900.5191563783.

Adding to 6864624000 its reverse (4264686), we get a palindrome (6868888686).

The spelling of 6864624000 in words is "six billion, eight hundred sixty-four million, six hundred twenty-four thousand".