6801814100400 has 240 divisors, whose sum is σ = 23853251925120. Its totient is φ = 1643097139200.

The previous prime is 6801814100399. The next prime is 6801814100467. The reversal of 6801814100400 is 40014181086.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6801814100400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2825196 + ... + 4646004.

It is an arithmetic number, because the mean of its divisors is an integer number (99388549688).

Almost surely, 2^{6801814100400} is an apocalyptic number.

6801814100400 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 6801814100400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11926625962560).

6801814100400 is an abundant number, since it is smaller than the sum of its proper divisors (17051437824720).

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

6801814100400 is a wasteful number, since it uses less digits than its factorization.

6801814100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821124 (or 1821113 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

Adding to 6801814100400 its reverse (40014181086), we get a palindrome (6841828281486).

The spelling of 6801814100400 in words is "six trillion, eight hundred one billion, eight hundred fourteen million, one hundred thousand, four hundred".