6738097600800 has 288 divisors, whose sum is σ = 25802951630400. Its totient is φ = 1691130286080.

The previous prime is 6738097600777. The next prime is 6738097600807. The reversal of 6738097600800 is 80067908376.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6738097600807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8807770 + ... + 9542169.

It is an arithmetic number, because the mean of its divisors is an integer number (89593582050).

Almost surely, 2^{6738097600800} is an apocalyptic number.

6738097600800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6738097600800 is an abundant number, since it is smaller than the sum of its proper divisors (19064854029600).

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

6738097600800 is a wasteful number, since it uses less digits than its factorization.

6738097600800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18349985 (or 18349966 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 6738097600800 in words is "six trillion, seven hundred thirty-eight billion, ninety-seven million, six hundred thousand, eight hundred".