6801426283680 has 288 divisors, whose sum is σ = 28085890420224. Its totient is φ = 1463163936768.

The previous prime is 6801426283627. The next prime is 6801426283787. The reversal of 6801426283680 is 863826241086.

6801426283680 is a `hidden beast` number, since 6 + 8 + 0 + 1 + 4 + 2 + 628 + 3 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 19674072 + ... + 20016791.

It is an arithmetic number, because the mean of its divisors is an integer number (97520452848).

Almost surely, 2^{6801426283680} is an apocalyptic number.

6801426283680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6801426283680 is an abundant number, since it is smaller than the sum of its proper divisors (21284464136544).

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

6801426283680 is a wasteful number, since it uses less digits than its factorization.

6801426283680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39690908 (or 39690897 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 6801426283680 in words is "six trillion, eight hundred one billion, four hundred twenty-six million, two hundred eighty-three thousand, six hundred eighty".