6763238125056 has 800 divisors, whose sum is σ = 25215892365312. Its totient is φ = 1759978782720.

The previous prime is 6763238125043. The next prime is 6763238125067. The reversal of 6763238125056 is 6505218323676.

6763238125056 is a `hidden beast` number, since 6 + 7 + 6 + 3 + 2 + 381 + 250 + 5 + 6 = 666.

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

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 6763238124993 and 6763238125011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 152968105 + ... + 153012311.

Almost surely, 2^{6763238125056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6763238125056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12607946182656).

6763238125056 is an abundant number, since it is smaller than the sum of its proper divisors (18452654240256).

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

6763238125056 is a wasteful number, since it uses less digits than its factorization.

6763238125056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44292 (or 44267 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 6763238125056 in words is "six trillion, seven hundred sixty-three billion, two hundred thirty-eight million, one hundred twenty-five thousand, fifty-six".