6763423898880 has 2592 divisors, whose sum is σ = 29203598196864. Its totient is φ = 1493390131200.

The previous prime is 6763423898879. The next prime is 6763423898887. The reversal of 6763423898880 is 888983243676.

It is a happy number.

6763423898880 is a `hidden beast` number, since 67 + 6 + 34 + 2 + 389 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2592).

It is a super-2 number, since 2×6763423898880² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6763423898799 and 6763423898808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6763423898887) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 218174964465 + ... + 218174964495.

It is an arithmetic number, because the mean of its divisors is an integer number (11266820292).

Almost surely, 2^{6763423898880} is an apocalyptic number.

6763423898880 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 6763423898880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14601799098432).

6763423898880 is an abundant number, since it is smaller than the sum of its proper divisors (22440174297984).

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

6763423898880 is an equidigital number, since it uses as much as digits as its factorization.

6763423898880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 6763423898880 in words is "six trillion, seven hundred sixty-three billion, four hundred twenty-three million, eight hundred ninety-eight thousand, eight hundred eighty".