6781763551920 has 960 divisors, whose sum is σ = 26739574557696. Its totient is φ = 1386460938240.

The previous prime is 6781763551861. The next prime is 6781763551967. The reversal of 6781763551920 is 291553671876.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18478919577 + ... + 18478919943.

Almost surely, 2^{6781763551920} is an apocalyptic number.

6781763551920 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 6781763551920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13369787278848).

6781763551920 is an abundant number, since it is smaller than the sum of its proper divisors (19957811005776).

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

6781763551920 is a wasteful number, since it uses less digits than its factorization.

6781763551920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 19051200, while the sum is 60.

The spelling of 6781763551920 in words is "six trillion, seven hundred eighty-one billion, seven hundred sixty-three million, five hundred fifty-one thousand, nine hundred twenty".