433278068696880 has 640 divisors, whose sum is σ = 1480379535360000. Its totient is φ = 103960901468160.

The previous prime is 433278068696867. The next prime is 433278068696903. The reversal of 433278068696880 is 88696860872334.

It is a junction number, because it is equal to n+sod(n) for n = 433278068696796 and 433278068696805.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 82797258744 + ... + 82797263976.

It is an arithmetic number, because the mean of its divisors is an integer number (2313093024000).

Almost surely, 2^{433278068696880} is an apocalyptic number.

433278068696880 is a gapful number since it is divisible by the number (40) 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 433278068696880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740189767680000).

433278068696880 is an abundant number, since it is smaller than the sum of its proper divisors (1047101466663120).

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

433278068696880 is a wasteful number, since it uses less digits than its factorization.

433278068696880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6257 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 4013162496, while the sum is 78.

The spelling of 433278068696880 in words is "four hundred thirty-three trillion, two hundred seventy-eight billion, sixty-eight million, six hundred ninety-six thousand, eight hundred eighty".