6431878752768 has 800 divisors, whose sum is σ = 22283395854720. Its totient is φ = 1809147985920.

The previous prime is 6431878752743. The next prime is 6431878752791. The reversal of 6431878752768 is 8672578781346.

6431878752768 is a `hidden beast` number, since 6 + 4 + 3 + 18 + 7 + 87 + 527 + 6 + 8 = 666.

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 = 6431878752696 and 6431878752705.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5727407055 + ... + 5727408177.

Almost surely, 2^{6431878752768} 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 6431878752768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11141697927360).

6431878752768 is an abundant number, since it is smaller than the sum of its proper divisors (15851517101952).

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

6431878752768 is a wasteful number, since it uses less digits than its factorization.

6431878752768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1450 (or 1425 counting only the distinct ones).

The product of its digits is 758661120, while the sum is 72.

The spelling of 6431878752768 in words is "six trillion, four hundred thirty-one billion, eight hundred seventy-eight million, seven hundred fifty-two thousand, seven hundred sixty-eight".