6862060800 has 1080 divisors, whose sum is σ = 30422830592. Its totient is φ = 1492992000.

The previous prime is 6862060757. The next prime is 6862060853. The reversal of 6862060800 is 80602686.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 112492770 + ... + 112492830.

Almost surely, 2^6862060800 is an apocalyptic number.

6862060800 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 6862060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15211415296).

6862060800 is an abundant number, since it is smaller than the sum of its proper divisors (23560769792).

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

6862060800 is a wasteful number, since it uses less digits than its factorization.

6862060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6862060800 is about 82837.5566998448. The cubic root of 6862060800 is about 1900.2825803161.

The spelling of 6862060800 in words is "six billion, eight hundred sixty-two million, sixty thousand, eight hundred".