6727130740800 has 252 divisors, whose sum is σ = 24795360991856. Its totient is φ = 1793901427200.

The previous prime is 6727130740789. The next prime is 6727130740823. The reversal of 6727130740800 is 80470317276.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8262346 + ... + 9039945.

Almost surely, 2^{6727130740800} is an apocalyptic number.

6727130740800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6727130740800 is an abundant number, since it is smaller than the sum of its proper divisors (18068230251056).

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

6727130740800 is a wasteful number, since it uses less digits than its factorization.

6727130740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17302328 (or 17302301 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 6727130740800 in words is "six trillion, seven hundred twenty-seven billion, one hundred thirty million, seven hundred forty thousand, eight hundred".