6787273920000 has 1200 divisors, whose sum is σ = 26708016398976. Its totient is φ = 1499904000000.

The previous prime is 6787273919999. The next prime is 6787273920017. The reversal of 6787273920000 is 293727876.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-2 number, since 2×6787273920000² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6457919475 + ... + 6457920525.

Almost surely, 2^{6787273920000} is an apocalyptic number.

6787273920000 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 6787273920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13354008199488).

6787273920000 is an abundant number, since it is smaller than the sum of its proper divisors (19920742478976).

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

6787273920000 is an equidigital number, since it uses as much as digits as its factorization.

6787273920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 6787273920000 in words is "six trillion, seven hundred eighty-seven billion, two hundred seventy-three million, nine hundred twenty thousand".