6862648000 has 448 divisors, whose sum is σ = 20236769280. Its totient is φ = 2280960000.

The previous prime is 6862647973. The next prime is 6862648007. The reversal of 6862648000 is 8462686.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (6862648007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45447925 + ... + 45448075.

It is an arithmetic number, because the mean of its divisors is an integer number (45171360).

Almost surely, 2^6862648000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6862648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10118384640).

6862648000 is an abundant number, since it is smaller than the sum of its proper divisors (13374121280).

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

6862648000 is a wasteful number, since it uses less digits than its factorization.

6862648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 6862648000 is about 82841.1009101159. The cubic root of 6862648000 is about 1900.3367824057.

The spelling of 6862648000 in words is "six billion, eight hundred sixty-two million, six hundred forty-eight thousand".