6812441586000 has 480 divisors, whose sum is σ = 25212130070400. Its totient is φ = 1708505395200.

The previous prime is 6812441585951. The next prime is 6812441586011. The reversal of 6812441586000 is 6851442186.

It is a happy number.

6812441586000 is a `hidden beast` number, since 6 + 8 + 1 + 24 + 4 + 15 + 8 + 600 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 446446371 + ... + 446461629.

It is an arithmetic number, because the mean of its divisors is an integer number (52525270980).

Almost surely, 2^{6812441586000} is an apocalyptic number.

6812441586000 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 6812441586000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12606065035200).

6812441586000 is an abundant number, since it is smaller than the sum of its proper divisors (18399688484400).

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

6812441586000 is a wasteful number, since it uses less digits than its factorization.

6812441586000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16764 (or 16745 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 6812441586000 in words is "six trillion, eight hundred twelve billion, four hundred forty-one million, five hundred eighty-six thousand".