6379681807800 has 672 divisors, whose sum is σ = 25530845921280. Its totient is φ = 1451622124800.

The previous prime is 6379681807789. The next prime is 6379681807817. The reversal of 6379681807800 is 87081869736.

6379681807800 is a `hidden beast` number, since 6 + 379 + 6 + 8 + 180 + 7 + 80 + 0 = 666.

It is a super-2 number, since 2×6379681807800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 227579785 + ... + 227607815.

It is an arithmetic number, because the mean of its divisors is an integer number (37992330240).

Almost surely, 2^{6379681807800} is an apocalyptic number.

6379681807800 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 6379681807800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12765422960640).

6379681807800 is an abundant number, since it is smaller than the sum of its proper divisors (19151164113480).

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

6379681807800 is a wasteful number, since it uses less digits than its factorization.

6379681807800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28295 (or 28271 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 6379681807800 in words is "six trillion, three hundred seventy-nine billion, six hundred eighty-one million, eight hundred seven thousand, eight hundred".